On Best Multiplier Approximation of k-Monotone by Trigonometric Polynomial

Saheb K.  Al-Saidy; Hasan W. Maktoof; Abdul Khaleq O.  Mazeel; Baba Galadima Agaie

doi:10.23851/mjs.v35i1.1448

Authors

Saheb K. Al-Saidy Department of Communication, College of Engineering, University of Uruk, Baghdad, IRAQ.
Hasan W. Maktoof Department of Mathematics, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ.. https://orcid.org/0000-0002-6759-0629
Abdul Khaleq O. Mazeel Department of Mathematics, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ.
Baba Galadima Agaie Department of Mathematics, Faculty of Science, Federal University of Dutse, Nigeria

DOI:

https://doi.org/10.23851/mjs.v35i1.1448

Keywords:

Multiplier integral, Multiplier averaged modulus of smoothness, Multiplier norm.

Abstract

The main goal of this paper is to study the degree of the best multiplier approximation of monotone unbounded functions in L_(p,λ_n)-space on the closed interval [-π,π] by means of K-functional, which we represented with, K(f,L_(p,λ_n ),W_(p,λ_n)^1,W ̃_(p,λ_n)^1), defined by the W_(p,λ_n)^1 and W ̃_(p,λ_n)^1 that are referred to during this research. In addition, we have established a set of definitions, concepts and some useful lemmas that are needed in our work.

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References

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CrossRef

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