Approximation properties of the generalized Szasz operators by multiple Appell polynomials via power summability method


Braha N. L. , Kadak U.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.43, sa.5, ss.2337-2356, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1002/mma.6044
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.2337-2356

Özet

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.