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A strong converse inequality for left gamma quasi-interpolants in L p-spaces

Acta Mathematica Hungarica
Volume/Issue:
Volume 105: Issue 1-2
DOI:
https://doi.org/10.1023/b:amhu.0000045529.41954.da
Authors:
Shunsheng Guo
,
Lixia Liu
,
Qiulan Qi
, and
Gengsheng Zhang

Abstract  

Recently Müller [6] introduced the left Gamma quasi-interpolants and obtained an approximation equivalence theorem for them. We show the strong converse inequality of type B for the left Gamma quasi-interpolants.

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Direct and strong converse theorems for a general sequence of positive linear operators

Acta Mathematica Hungarica
Volume/Issue:
Volume 136: Issue 1-2
DOI:
https://doi.org/10.1007/s10474-012-0196-5
Authors:
Jorge Bustamante
,
Abisaí Carrillo-Zentella
, and
José M. Quesada

. Ivanov , K. G. 1993 Strong converse inequalities J. Anal. Math. 61 61 – 111 10.1007/BF02788839 . [5

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Convexity, moduli of smoothness and a Jackson-type inequality

Acta Mathematica Hungarica
Volume/Issue:
Volume 130: Issue 3
DOI:
https://doi.org/10.1007/s10474-010-0008-8
Authors:
Z. Ditzian
and
A. Prymak

.10.003 . [5] Dai , F. , Ditzian , Z. 2005 Strong converse inequality for Poisson sums Proc. Amer. Math. Soc. 133 2609 – 2611 10.1090/S0002-9939-05-08089-5 . [6] Dai

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Weighted approximation by Baskakov-type operators

Acta Mathematica Hungarica
Volume/Issue:
Volume 133: Issue 1-2
DOI:
https://doi.org/10.1007/s10474-011-0135-x
Authors:
Kamen G. Ivanov
and
Parvan E. Parvanov

. 1991 Strong converse inequalities J. d‘Analyse Mathematique 61 61 – 111 10.1007/BF02788839 . [5] Durrmeyer , J. L. , Une formule d’inversion de la transformée de Laplace: Applications à

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