Detailed Study on Characterization of Best Algebraic Approximation by a Generalized Modulus of Smoothness

Authors

  • Teodora Zapryanova University of Economics – Varna, 77, Kniaz Boris I Blvd, 9002 Varna, Bulgaria.
  • Diko Souroujon University of Economics – Varna, 77, Kniaz Boris I Blvd, 9002 Varna, Bulgaria.

DOI:

https://doi.org/10.9734/bpi/tpmcs/v7/7352D

Keywords:

Jackson operator, Best approximation, Generalized modulus of smoothness, K-functional

Abstract

The paper presents Jackson inequality and the corresponding inverse inequality for the best algebraic approximation in terms of the generalized moduli of smoothness. Moreover the equivalence between the generalized modulus and the Butzer-Stens modulus is shown.

Published

2021-02-12

How to Cite

Teodora Zapryanova, & Diko Souroujon. (2021). Detailed Study on Characterization of Best Algebraic Approximation by a Generalized Modulus of Smoothness. Theory and Practice of Mathematics and Computer Science Vol. 7, 159–169. https://doi.org/10.9734/bpi/tpmcs/v7/7352D

Issue

Theory and Practice of Mathematics and Computer Science Vol. 7

Section

Chapters