Journal of East China Normal University(Natural Science) >

2018 , Vol. 2018 >Issue 2: 31 - 40

DOI: https://doi.org/10.3969/j.issn.1000-5641.2018.02.004

Approximation properties of the left quasi-interpolants Gamma operators in Orlicz spaces

  • HAN Ling-xiong
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  • College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao Inner Mongolia 028043, China

Received date: 2017-03-22

  Online published: 2018-03-22

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Abstract

In order to reach better approximation degree, people start to study the quasiinterpolants of operators. In this paper, approximation properties of left quasi-interpolants Gamma operators are discussed by the tools of Ditizan-Totik modulus, K-functional, Hölder's inequality, Cauchy-Schwarz's inequality and Laguerre polynomials and so on. Then we obtain the direct, inverse and equivalence theorems which generalize the results of left quasi-interpolants Gamma operators in Lp space and improve the approximation properties of Gamma operators in Orlicz spaces.

Key words： left quasi-interpolants Gamma operator; K-functional; modulus of smoothness; equivalence theorem

Cite this article

HAN Ling-xiong . Approximation properties of the left quasi-interpolants Gamma operators in Orlicz spaces[J]. Journal of East China Normal University(Natural Science), 2018 , 2018(2) : 31 -40 . DOI: 10.3969/j.issn.1000-5641.2018.02.004

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