TRIGONOMETRIC JACKSON INTEGRALS APPROXIMATION BY A k-GENERALIZED MODULUS OF SMOOTHNESS

Authors

  • Hawraa Abbas Almurieb Department of Mathematics, College of Education for Pure Sciences, University of Babylon
  • Zainab Abdulmunim Sharba Computer Science Department, College of Science for Women, University of Babylon
  • Mayada Ali Kareem Department of Mathematics, College of Education for Pure Sciences, University of Babylon

Abstract

The need for smoothness measures emerged by mathematicians working in the fields of approximation theory, functional analysis and real analysis. In the present paper, anew version of generalized modulus of smoothness is studied. The aim of defining that modulus,is to find the degree of best Lp functions approximation via trigonometric polynomials.We benefit from Jackson integrals to arrive to the essential approximation theorems

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Published

2022-11-30

Issue

Volume 27, Number 4, December 2022

Section

Articles