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Approximation properties of the generalized Szasz operators by multiple Appell polynomials via power summability method
Author(s) -
Braha Naim L.,
Kadak Ugur
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6044
Subject(s) - mathematics , orthogonal polynomials , type (biology) , section (typography) , power series , convergence (economics) , transformation (genetics) , algebra over a field , pure mathematics , mathematical analysis , ecology , biochemistry , chemistry , advertising , economics , gene , business , biology , economic growth
In this paper some properties of the generalized Szasz operators by multiple Appell polynomials are given, using into consideration the power summability method. In the first section are given some direct estimation related to the generalized Szasz operators by multiple Appell polynomials, including Korovkin type theorem. In the second section, we give some results related to the weighted spaces of continuous functions and Voronovskaya type theorem. In the third section, we have proved some results related to the statistical convergence of the generalized Szasz operators by multiple Appell polynomials, using into consideration the A − transformation. At the end of the paper are given some illustrative computational examples which make such summability methods (for example, power series method) more useful and fruitful for applications of functional analysis in approximation theory.