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Some inequalities of trigonometric approximation in weighted Orlicz spaces

In: Mathematica Slovaca, vol. 66, no. 1
Ramazan Akgün

Details:

Year, pages: 2016, 217 - 234
Keywords:
weighted fractional modulus of smoothness, direct theorem, inverse theorem, fractional derivative, Orlicz space, trigonometric polynomial approximation
DOI: https://doi.org/10.1515/ms-2015-0130
About article:
In the present work, we proved a refined direct theorem and an exact inverse theorem of trigonometric approximation in Orlicz spaces with weights satisfying some Muckenhoupt's $Ap$ condition. As a consequence, refined Marchaud inequality and its inverse are obtained.
How to cite:
ISO 690:
Akgün, R. 2016. Some inequalities of trigonometric approximation in weighted Orlicz spaces. In Mathematica Slovaca, vol. 66, no.1, pp. 217-234. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0130

APA:
Akgün, R. (2016). Some inequalities of trigonometric approximation in weighted Orlicz spaces. Mathematica Slovaca, 66(1), 217-234. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0130
About edition:
Published: 1. 2. 2016