Ostrovska, Sofiya
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Ostrovska, Sofıya Ostrovska,S. Ostrovska, Sofia S., Ostrovska S.,Ostrovska O., Sofiya Ostrovska, S Sofiya, Ostrovska Ostrovska, S. Ostrovska, Sofiya Ostrovska S. O.,Sofiya
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Profesor Doktor
Email Address
sofia.ostrovska@atilim.edu.tr
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Mathematics
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Sustainable Development Goals
1NO POVERTY
0
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2ZERO HUNGER
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3GOOD HEALTH AND WELL-BEING
1
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4QUALITY EDUCATION
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5GENDER EQUALITY
1
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6CLEAN WATER AND SANITATION
0
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7AFFORDABLE AND CLEAN ENERGY
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8DECENT WORK AND ECONOMIC GROWTH
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9INDUSTRY, INNOVATION AND INFRASTRUCTURE
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10REDUCED INEQUALITIES
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11SUSTAINABLE CITIES AND COMMUNITIES
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12RESPONSIBLE CONSUMPTION AND PRODUCTION
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13CLIMATE ACTION
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14LIFE BELOW WATER
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15LIFE ON LAND
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16PEACE, JUSTICE AND STRONG INSTITUTIONS
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17PARTNERSHIPS FOR THE GOALS
1
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Documents
102
Citations
944
h-index
14
Documents
89
Citations
836
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Scholarly Output
112
Articles
104
Views / Downloads
132/143
Supervised MSc Theses
3
Supervised PhD Theses
0
WoS Citation Count
848
Scopus Citation Count
955
Patents
0
Projects
0
WoS Citations per Publication
7.57
Scopus Citations per Publication
8.53
Open Access Source
45
Supervised Theses
3
| Journal | Count |
|---|---|
| Journal of Mathematical Analysis and Applications | 8 |
| Mediterranean Journal of Mathematics | 4 |
| Results in Mathematics | 4 |
| Journal of Approximation Theory | 4 |
| Statistics & Probability Letters | 4 |
Current Page: 1 / 14
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112 results
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Now showing 1 - 10 of 112
Article Citation - WoS: 16Citation - Scopus: 16<i>q</I>-bernstein Polynomials of the Cauchy Kernel(Elsevier Science inc, 2008-04) Ostrovska, SofiyaDue to the fact that in the case q > 1, q-Bernstein polynomials are not positive linear operators on C[0, 1], the study of their approximation properties is essentially more difficult than that for 0 < q < 1. Despite the intensive research conducted in the area lately, the problem of describing the class of functions in C[0, 1] uniformly approximated by their q-Bernstein polynomials (q > 1) is still open. In this paper, the q-Bernstein polynomials B-n,B-q(f(a); z) of the Cauchy kernel f(a) = 1/(z - a), a is an element of C \ [0, 1] are found explicitly and their properties are investigated. In particular, it is proved that if q > 1, then polynomials B-n,B-q(f(a); z) converge to f(a) uniformly on any compact set K subset of {z : vertical bar z vertical bar < vertical bar a vertical bar}. This result is sharp in the following sense: on any set with an accumulation point in {z : vertical bar z vertical bar > vertical bar a vertical bar}, the sequence {B-n,B-q(f(a); z) is not even uniformly bounded. (C) 2007 Elsevier Inc. All rights reserved.Article Citation - WoS: 45Citation - Scopus: 62Impact of Physical Ambiance on Communication, Collaboration and Coordination in Agile Software Development: an Empirical Evaluation(Elsevier, 2012-10) Mishra, Deepti; Mishra, Alok; Ostrovska, SofiyaContext: Communication, collaboration and coordination are key enablers of software development and even more so in agile methods. The physical environment of the workspace plays a significant role in effective communication, collaboration, and coordination among people while developing software. Objective: In this paper, we have studied and further evaluated empirically the effect of different constituents of physical environment on communication, coordination, and collaboration, respectively. The study aims to provide a guideline for prospective agile software developers. Method: A survey was conducted among software developers at a software development organization. To collect data, a survey was carried out along with observations, and interviews. Results: It has been found that half cubicles are 'very effective' for the frequency of communication. Further, half cubicles were discovered 'effective' but not 'very effective' for the quality/effectiveness of communication. It is found that half-height cubicles and status boards are 'very effective' for the coordination among team members according to the survey. Communal/discussion space is found to be 'effective' but not 'very effective' for coordination among team members. Our analysis also reveals that half-height glass barriers are 'very effective' during the individuals problem-solving activities while working together as a team. Infact, such a physically open environment appears to improve communication, coordination, and collaboration. Conclusion: According to this study, an open working environment with only half-height glass barriers and communal space plays a major role in communication among team members. The presence of status boards significantly help in reducing unnecessary communication by providing the required information to individuals and therefore, in turn reduce distractions a team member may confront in their absence. As communication plays a significant role in improving coordination and collaboration, it is not surprising to find the effect of open working environment and status boards in improving coordination and collaboration. An open working environment increases the awareness among software developers e.g. who is doing what, what is on the agenda, what is taking place, etc. That in turn, improves coordination among them. A communal/discussion space helps in collaboration immensely. (C) 2012 Elsevier B.V. All rights reserved.Master Thesis Q-bernstein Polinomlarının Özellikleri Üzerine(2017) Almesbahı, Manal Mastafa; Turan, Mehmet; Ostrovska, SofıyaBu tezin amacı Bernstein polinomları teorisini ve son genişletmesi olan q-kalkülüsü çalışmaktır. Bu çalışmanın temel odak noktası 20 yıl önce ortaya çıkan ve kısa sürede birçok araştırmacının dikkatini çeken q-Bernstein polinomlarıdır. Bu tez Bernstein polinomlarına dair bilinen bazı sonuçların derlemesinden, q-Bernstein polinomları teorisine kısa bir giriş ve bazı yeni gelişmelerden oluşmaktadır. Yeni gelişmeler kısmında; limit q-Bernstein operatör dizisinin kuvvetli operatör limiti ve q-Bernstein operatörlerinin zayıf Picard operatörler oldukları ifade edilmiştir.Article Fedja’s Proof of Deepti’s Inequality(Tubitak Scientific & Technological Research Council Turkey, 2018-05-08) Ostrovska, Sofiya; Turan, MehmetThe paper aims to present, in a systematic way, an elegant proof of Deepti’s inequality. Both the inequalityand various ideas concerning the issue were discussed on the Mathoverflow website by a number of users, but none haveappeared in the literature thus far. In this work, suggestions pertaining to users ‘Deepti’ and ‘fedja’ are traced, whencethe title. The results or the paper are new, and the proof is divided into a series of statements, many of which are ofinterest in themselves.Article Citation - WoS: 11Citation - Scopus: 13Exploring and Expanding Students' Success in Software Testing(Emerald Group Publishing Ltd, 2017-11-06) Mishra, Deepti; Ostrovska, Sofiya; Hacaloglu, TunaPurpose - Testing is one of the indispensable activities in software development and is being adopted as an independent course by software engineering (SE) departments at universities worldwide. The purpose of this paper is to carry out an investigation of the performance of learners about testing, given the tendencies in the industry and motivation caused by the unavailability of similar studies in software testing field. Design/methodology/approach - This study is based on the data collected over three years (between 2012 and 2014) from students taking the software testing course. The course is included in the second year of undergraduate curriculum for the bachelor of engineering (SE). Findings - It has been observed that, from the performance perspective, automated testing outperforms structural and functional testing techniques, and that a strong correlation exists among these three approaches. Moreover, a strong programming background does help toward further success in structural and automated testing, but has no effect on functional testing. The results of different teaching styles within the course are also presented together with an analysis exploring the relationship between students' gender and success in the software testing course, revealing that there is no difference in terms of performance between male and female students in the course. Moreover, it is advisable to introduce teaching concepts one at a time because students find it difficult to grasp the ideas otherwise. Research limitations/implications - These findings are based on the analysis conducted using three years of data collected while teaching a course in testing. Obviously, there are some limitations to this study. For example, student's strength in programming is calculated using the score of C programming courses taken in previous year/semester. Such scores may not reflect their current level of programming knowledge. Furthermore, attempt was made to ensure that the exercises given for different testing techniques have similar difficulty level to guarantee that the difference in success between these testing techniques is due to the inherent complexity of the technique itself and not because of different exercises. Still, there is small probability that a certain degree of change in success may be due to the difference in the difficulty levels of the exercises. As such, it is obviously premature to consider the present results as final since there is a lack of similar type of studies, with which the authors can compare the results. Therefore, more work needs to be done in different settings to draw sound conclusions in this respect. Originality/value - Although there are few studies (see e.g. Chan et al., 2005; Garousi and Zhi, 2013; Ng et al., 2004) exploring the preference of testers over distinct software testing techniques in the industry, there appears to be no paper comparing the preferences and performances of learners in terms of different testing techniques.Editorial Citation - Scopus: 1Approximation Theory and Numerical Analysis(Hindawi Publishing Corporation, 2014) Ostrovska,S.; Berdysheva,E.; Nowak,G.; Özban,A.Y.[No abstract available]Article Citation - WoS: 16Citation - Scopus: 15Generalized Transportation Cost Spaces(Springer Basel Ag, 2019-10-30) Ostrovska, Sofiya; Ostrovskii, Mikhail I.The paper is devoted to the geometry of transportation cost spaces and their generalizations introduced by Melleray et al. (Fundam Math 199(2):177-194, 2008). Transportation cost spaces are also known as Arens-Eells, Lipschitz-free, or Wasserstein 1 spaces. In this work, the existence of metric spaces with the following properties is proved: (1) uniformly discrete metric spaces such that transportation cost spaces on them do not contain isometric copies of l(1), this result answers a question raised by Cuth and Johanis (Proc Am Math Soc 145(8):3409-3421, 2017); (2) locally finite metric spaces which admit isometric embeddings only into Banach spaces containing isometric copies of l(1); (3) metric spaces for which the double-point norm is not a norm. In addition, it is proved that the double-point norm spaces corresponding to trees are close to l(infinity)(d) of the corresponding dimension, and that for all finite metric spaces M, except a very special class, the infimum of all seminorms for which the embedding of M into the corresponding seminormed space is isometric, is not a seminorm.Article Citation - WoS: 72Citation - Scopus: 75On the Lupas <i>q</I>-analogue of the Bernstein Operator(Rocky Mt Math Consortium, 2006-10-01) Ostrovska, SofiyaLet R-n(f,q;x) : C[0, 1] -> C[0, 1] be q-analogues of the Bernstein operators defined by Lupas in 1987. If q = 1, then R-n (f, 1; x) are classical Bernstein polynomials. For q not equal 1, the operators R-n (f, q; x) are rational functions rather than polynomials. The paper deals with convergence properties of the sequence {R-n (f, q; x)}. It is proved that {R-n (f, q(n); x)} converges uniformly to f(x) for any f(x) is an element of C[0, 1] if and only if q(n) -> 1. In the case q > 0, q not equal 1 being fixed the sequence I R. (f, q; x) I converges uniformly to f(x) is an element of C[0, 1] if and only if f(x) is linear.Article How Analytic Properties of Functions Influence Their Images Under the Limit q-Stancu Operator(Springer Basel AG, 2026-01-10) Gurel, Ovgu; Ostrovska, Sofiya; Turan, MehmetIn the study of various q-versions of the Bernstein polynomials, a significant attention is paid to their limit operators. The present work focuses on the impact of the limit q-Stancu operator Sq infinity,alpha on the analytic properties of functions when 0 < q < 1 and alpha > 0. It is shown that for every f is an element of C[0, 1], the function S-q,(alpha infinity)fadmits an analytic continuation into the disk {z : z+alpha/(1-q) < 1+ alpha/(1-q)}. In addition, it is proved that the more derivatives f has at x = 1, the wider this disk becomes. Further, if f is infinitely differentiable at x = 1, then the function S-q,(alpha infinity)fis entire. Finally, some growth estimates for (S-q,(alpha infinity)f)(z) are obtained.Article Citation - WoS: 2Citation - Scopus: 1The Continuity in Q of the Lupaş Q-Analogues of the Bernstein Operators(Academic Press inc Elsevier Science, 2024-01) Yilmaz, Ovgue Gurel; Turan, Mehmet; Ostrovska, Sofiya; Turan, Mehmet; Ostrovska, Sofiya; Turan, Mehmet; Ostrovska, Sofiya; Gurel Yilmaz, Ovgu; Mathematics; MathematicsThe Lupas q-analogue Rn,q of the Bernstein operator is the first known q-version of the Bernstein polynomials. It had been proposed by A. Lupas in 1987, but gained the popularity only 20 years later, when q-analogues of classical operators pertinent to the approximation theory became an area of intensive research. In this work, the continuity of operators Rn,q with respect to parameter q in the strong operator topology and in the uniform operator topology has been investigated. The cases when n is fixed and n -> infinity have been considered. (c) 2022 Elsevier Inc. All rights reserved.