This item is non-discoverable
Khrushchev, Sergey
Loading...
Profile URL
Name Variants
Khrushchev, S
Khrushchev, S.
Khrushchev, SV
S.,Khrushchev
K.,Sergey
K., Sergey
Sergey, Khrushchev
S., Khrushchev
Khrushchev,S.
Khrushchev, Sergey
Khrushchev, S.
Khrushchev, SV
S.,Khrushchev
K.,Sergey
K., Sergey
Sergey, Khrushchev
S., Khrushchev
Khrushchev,S.
Khrushchev, Sergey
Job Title
Profesör Doktor
Email Address
Main Affiliation
Mathematics
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
Sustainable Development Goals
SDG data is not available
Scholarly Output
18
Articles
6
Citation Count
52
Supervised Theses
0
18 results
Scholarly Output Search Results
Now showing 1 - 10 of 18
Article Citation - WoS: 4Citation - Scopus: 3The Euler-Lagrange Theory for Schur's Algorithm: Wall Pairs(Academic Press inc Elsevier Science, 2006) Khrushchev, S; MathematicsThis paper develops a techniques of Wall pairs for the study of periodic exposed quadratic irrationalities in the unit ball of the Hardy algebra. (C) 2005 Elsevier Inc. All rights reserved.Article Citation - WoS: 1Citation - Scopus: 2Turan measures(Academic Press inc Elsevier Science, 2003) Khrushchev, S; MathematicsA probability measure a on the unit circle T is called a Turan measure if any point of the open unit disc D is a limit point of zeros of the orthogonal polynomials associated to a. We show that many classes of measures, including Szego measures, measures with absolutely convergent series of their parameters, absolutely continuous measures with smooth densities, contain Turan measures. (C) 2003 Elsevier Science (USA). All rights reserved.Conference Object The Great Theorem of Aa Markoff and Jean Bernoulli Sequences(Elsevier Science Bv, 2010) Khrushchev, S.; MathematicsA proof of Markoff's Great Theorem on the Lagrange spectrum using continued fractions is sketched. Markoff's periods and jean Bernoulli sequence(1) are used to obtain a simple algorithm for the computation of the Lagrange spectrum below 3. (C) 2009 Elsevier B.V. All rights reserved.Article Citation - WoS: 7Citation - Scopus: 9Cesaro Asymptotics for Orthogonal Polynomials on the Unit Circle and Classes of Measures(Academic Press inc Elsevier Science, 2002) Golinskii, L; Khrushchev, S; MathematicsThe convergence in L-2(T) of the even approximants of the Wall continued fractions is extended to the Cesaro-Nevai class CN, which is defined as the class of probability measures sigma with lim(n-->infinity) 1/n Sigma(k=0)(n-1) \a(k)\ = 0, (a(n))(ngreater than or equal to0) being the Geronimus parameters of sigma. We show that CN contains universal measures, that is, probability measures for which the sequence (\phi(n)\(2) dsigma)(ngreater than or equal to0) is dense in the set of all probability measures equipped with the weak-* topology. We also consider the "opposite" Szego class which consists of measures with Sigma(n=0)(infinity) (1-\a(n)\(2))(1/2) < infinity and describe it in terms of Hessenberg matrices. (C) 2002 Elsevier Science (USA).Conference Object Citation - WoS: 1On Euler's differential methods for continued fractions(Kent State University, 2006) Khrushchev, Sergey; Mathematics; MathematicsA differential method discovered by Euler is justified and applied to give simple proofs to formulas relating important continued fractions with Laplace transforms. They include Stieltjes formulas and some Ramanujan formulas. A representation for the remainder of Leibniz's series as a continued fraction is given. We also recover the original Euler's proof for the continued fraction of hyperbolic cotangent.Book Part Citation - WoS: 4Continued Fractions: Real Numbers(Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics[No Abstract Available]Book Part Continued Fractions: Analysis(Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics[No Abstract Available]Book Part Continued Fractions: Algebra(Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics[No Abstract Available]Editorial Orthogonal Polynomials and Continued Fractions From Euler's Point of View Preface(Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics[No Abstract Available]Book Part Continued Fractions: Euler's Influence(Cambridge Univ Press, 2008) Khrushchev, Sergey; Mathematics[No Abstract Available]
