Fractional order mixed difference operator and its applications in angular approximation

Year 2020, Volume: 49 Issue: 5, 1594 - 1610, 06.10.2020

Ramazan Akgün

https://doi.org/10.15672/hujms.569410

Cited By: 1

Abstract

Lebesgue spaces are considered with Muckenhoupt weights. Fractional order mixed difference operator is investigated to obtain mixed fractional modulus of smoothness in these spaces. Using this modulus of smoothness we give the proof of direct and inverse estimates of angular trigonometric approximation. Also we obtain an equivalence between fractional mixed modulus of smoothness and fractional mixed K-functional.

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Keywords

Difference Operator, Lebesgue spaces, Muckenhoupt weights, Angular Trigonometric Approximation, mixed modulus of smoothness

Supporting Institution

Balikesir University Research Projects

Project Number

2019/01

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