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Conference Object Citation - WoS: 67Improper Integrals on Time Scales(Dynamic Publishers, inc, 2003) Bohner, M; Guseinov, GSIn this paper we study improper integrals on time scales. We also give some mean value theorems for integrals on time scales, which are used in the proof of an analogue of the classical Dirichlet-Abel test for improper integrals.Article Citation - WoS: 4Citation - Scopus: 6Lagrange Interpolation on Time Scales(Wilmington Scientific Publisher, Llc, 2022) Georgiev, Svetlin G.; Erhan, Inci M.; Guseinov, GS; Bohner, MIn this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called s-Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of interpolation polynomials coincide. We apply our results on some particular examples.Article Citation - WoS: 89Citation - Scopus: 99Multiple Integration on Time Scales(Dynamic Publishers, inc, 2005) Bohner, M; Guseinov, GS; MathematicsIn this paper an introduction to integration theory for multivariable functions on time scales is given. Such an integral calculus can be used to develop a theory of partial dynamic equations on time scales in order to unify and extend the usual partial differential equations and partial difference equations.Article Citation - WoS: 81Citation - Scopus: 93Partial Differentiation on Time Scales(Dynamic Publishers, inc, 2004) Bohner, M; Guseinov, GS; MathematicsIn this paper a differential calculus for multivariable functions on time scales is presented. Such a calculus can be used to develop a theory of partial dynamic equations on time scales in order to unify and extend the usual partial differential and partial difference equations.
