Esra Erkuş-Duman

TL;DR: In this article, the authors give some relations between multivariable Laguerre polynomials and other well-known multi-ivariable polynomorphisms, and give various families of multilinear and multilateral generating functions for them.

TL;DR: In this paper, a multivariable extension of the extended Jacobi polynomials is studied and relations between the polynomial extensions and some other well-known polynomorphisms are derived.

TL;DR: By including high order derivatives of functions being approximated, a general family of the linear positive operators constructed by means of the Chan–Chyan–Srivastava multivariable polynomials is introduced and a Korovkin-type approximation result is obtained, which is more applicable than the classical case.

TL;DR: It is shown that the Chan–Chyan–Srivastava multivariable polynomials are not orthogonal, and some partial differential equations for the product of any two of them are obtained.

TL;DR: In this article, the authors studied a general Korovkin-type approximation theory by using the notion of ideal convergence which includes many convergence methods, such as, the usual convergence, statistical convergence, A-statistical convergence, etc.