New dynamic Hilbert-type inequalities in two independent variables involving Fenchel-Legendre transform

DOI10.1186/S13662-021-03394-WzbMath1494.26041OpenAlexW3164008204MaRDI QIDQ2166968

Zareen A. Khan, Samer D. Makharesh, Saima Rashid, Ahmed A. El-Deeb

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03394-w

zbMATH Keywords

time scalesdynamic inequalityHilbert's inequalityFenchel-Young inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Cites Work

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• A survey on the study of Hilbert-type inequalities
• On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations
• A multiple Hilbert-type integral inequality with a non-homogeneous kernel
• On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation
• On some new inequalities similar to Hilbert's inequality
• An improvement of some inequalities similar to Hilbert's inequality
• Generalized weighted Ostrowski, trapezoid and Grüss type inequalities on time scales
• On some generalizations of certain nonlinear retarded integral inequalities for Volterra-Fredholm integral equations and their applications in delay differential equations
• Approximately solving multi-valued variational inequalities by using a projection and contraction algorithm
• Analysis and explicit solvability of degenerate tensorial problems
• Some nonlinear delay Volterra-Fredholm type dynamic integral inequalities on time scales
• Some dynamic inequalities on time scales and their applications
• Some new discrete Hilbert's inequalities involving Fenchel-Legendre transform
• On some generalizations of dynamic Opial-type inequalities on time scales
• Certain new dynamic nonlinear inequalities in two independent variables and applications
• Some Opial-type inequalities with higher order delta derivatives on time scales
• Some Steffensen-type dynamic inequalities on time scales
• A variety of nonlinear retarded integral inequalities of Gronwall type and their applications
• Properties of solutions to porous medium problems with different sources and boundary conditions
• Weighted dynamic inequalities of Opial-type on time scales
• Minkowski and Beckenbach-Dresher inequalities and functionals on time scales
• On some dynamic inequalities of Steffensen type on time scales
• On Hilbert's inequality on time scales
• On some generalizations of nonlinear dynamic inequalities on time scales and their applications
• SOME GRONWALL{BELLMAN TYPE INEQUALITIES ON TIME SCALES FOR VOLTERRA-FREDHOLM DYNAMIC INTEGRAL EQUATIONS
• On retarded nonlinear integral inequalities of Gronwall and applications
• A variety of dynamic inequalities on time scales with retardation
• On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type
• A singular elliptic problem related to the membrane equilibrium equations
• Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales
• ON AN INEQUALITY OF HARDY'S (II)
• Analytic Inequalities
• Note on Hilbert's Inequality

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