Weighted Hardy-type inequalities on time scales with applications
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Publication:277004
DOI10.1007/S00009-014-0514-YzbMath1342.26064OpenAlexW2089985530MaRDI QIDQ277004
Allan C. Peterson, Samir H. Saker, Ramy R. Mahmoud
Publication date: 4 May 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-014-0514-y
Inequalities for sums, series and integrals (26D15) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)
Related Items (24)
Some reverse inequalities of Hardy type on time scales ⋮ New Carlson-Bellman and Hardy-Littlewood dynamic inequalities ⋮ A unified approach to Copson and Beesack type inequalities on time scales ⋮ Some new multidimensional Hardy-type inequalities with general kernels on time scales ⋮ Norm dynamic inequalities and theorems of factorization of weighted Cesàro and Copson spaces ⋮ Some dynamic inequalities of Hilbert's type ⋮ Some new dynamic Hardy-type inequalities with kernels involving monotone functions ⋮ Some characterizations of dynamic weighted Hardy-type inequalities with applications ⋮ Discrete normal vector field approximation via time scale calculus ⋮ Factorization theorems of Cesàro and Copson spaces on time scales ⋮ Characterizations of reverse dynamic weighted Hardy-type inequalities with kernels on time scales ⋮ A connection between weighted Hardy's inequality and half-linear dynamic equations ⋮ New generalizations of Németh-Mohapatra type inequalities on time scales ⋮ Some new characterizations of weights in dynamic inequalities involving monotonic functions ⋮ New characterizations of weights in Hardy and Opial type inequalities via solvability of dynamic equations ⋮ Two weighted norm dynamic inequalities with applications on second order half-linear dynamic equations ⋮ Some new weighted dynamic inequalities for monotone functions involving kernels ⋮ Some new dynamic inequalities involving monotonic functions on time scales ⋮ A unified approach to dynamic Hardy-type and Copson-type inequalities ⋮ Some dynamic Hilbert-type inequalities for two variables on time scales ⋮ New characterizations of weights on dynamic inequalities involving a Hardy operator ⋮ Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives ⋮ Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities ⋮ Some new generalizations of weighted dynamic Hardy-Knopp type inequalities with kernels
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