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Article . 2012
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Ul'anov type inequalities for moduli of smoothness

Ul'yanov type inequalities for moduli of smoothness
Authors: Jafarov, S.;

Ul'anov type inequalities for moduli of smoothness

Abstract

Let T denote the interval [-?, ?]. In this work we investigate the inequality of Ul'yanov type for moduli of smoothness of an integer order in the Lp (T), p ? 1 spaces. In particular, we study (p, q) inequalities for moduli of smoothness of a derivative of a function via the modulus of smoothness of the function itself.

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Turkey
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Keywords

Multidimensional problems, Inequalities for sums, series and integrals, Rate of convergence, degree of approximation, Multipliers for harmonic analysis in several variables, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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