On Hardy type integral inequality associated with the generalized translation

2006 ◽  
pp. 333-340 ◽  
Author(s):  
M. Z. Sarikaya ◽  
H. Yildirim ◽  
A. Saglam
Keyword(s):  
Integral Inequality ◽  
Hardy Type ◽  
Generalized Translation ◽  
Type Integral

scholarly journals Generalization of some Hardy-type integral inequality with negative parameter

2020 ◽  
Vol 13(62) (1) ◽  
pp. 69-76
Author(s):  
Bouharket Benaissa ◽  
◽  
Mehmet Zeki Sarikaya ◽  
Keyword(s):  
Integral Inequality ◽  
Hardy Type ◽  
Type Integral ◽  
Negative Parameter

scholarly journals q-Hardy type inequalities for quantum integrals

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Necmettin Alp ◽  
Mehmet Zeki Sarikaya
Keyword(s):  
Hardy Inequality ◽  
Integral Inequality ◽  
Integral Inequalities ◽  
Hardy Type Inequalities ◽  
Quantum Calculus ◽  
Quantum Numbers ◽  
Hardy Type ◽  
Type Integral ◽  
The Hardy Inequality

AbstractThe aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that, we prove a generalized q-Minkowski integral inequality. Finally, with the help of the obtained equalities and the generalized q-Minkowski integral inequality, we obtain the results we want. The outcomes presented in this paper are q-extensions and q-generalizations of the comparable results in the literature on inequalities. Additionally, by taking the limit $q\rightarrow 1^{-}$ q → 1 − , our results give classical results on the Hardy inequality.

A Simons type integral inequality for closed submanifolds in the product space Sn×R

2021 ◽  
Vol 209 ◽  
pp. 112366
Author(s):  
Fábio R. dos Santos ◽  
Sylvia F. da Silva
Keyword(s):  
Integral Inequality ◽  
Product Space ◽  
Type Integral

scholarly journals A reverse Hardy–Hilbert-type integral inequality involving one derivative function

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Qian Chen ◽  
Bicheng Yang
Keyword(s):  
Integral Inequality ◽  
Beta Function ◽  
Equivalent Form ◽  
Constant Factor ◽  
Weight Functions ◽  
Derivative Function ◽  
The Best Possible Constant ◽  
Type Integral ◽  
Hilbert Type ◽  
Hilbert Integral

AbstractIn 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.

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