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Your search keyword '"Derivative function"' showing total 3 results
Start Over Descriptor "Derivative function" Journal journal of inequalities and applications
3 results on '"Derivative function"'

1. A reverse Hardy–Hilbert-type integral inequality involving one derivative function

Author

Qian Chen and Bicheng Yang

Subjects
Weight function, Hardy–Hilbert-type integral inequality, Derivative function, Parameter, Beta function, Reverse, Mathematics, QA1-939
Abstract

Abstract In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the beta function is obtained. The equivalent statements of the best possible constant factor related to several parameters are considered. The equivalent form, the cases of non-homogeneous kernel and some particular inequalities are also presented.

Published
2020
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3. A reverse Hardy–Hilbert-type integral inequality involving one derivative function

Author

Bicheng Yang and Qian Chen

Subjects
Reverse, Pure mathematics, Inequality, Parameter, media_common.quotation_subject, 02 engineering and technology, Type (model theory), 01 natural sciences, Beta function, symbols.namesake, 0202 electrical engineering, electronic engineering, information engineering, Hardy–Hilbert-type integral inequality, Discrete Mathematics and Combinatorics, Derivative function, 0101 mathematics, Mathematics, media_common, Real analysis, lcsh:Mathematics, Applied Mathematics, 010102 general mathematics, 020206 networking & telecommunications, lcsh:QA1-939, Constant factor, Weight function, Kernel (statistics), symbols, Analysis
Abstract

In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the beta function is obtained. The equivalent statements of the best possible constant factor related to several parameters are considered. The equivalent form, the cases of non-homogeneous kernel and some particular inequalities are also presented.

Published
2020

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