Minkowski and Beckenbach-Dresher inequalities and functionals on time scales

DOI10.7153/JMI-07-28zbMath1277.26033OpenAlexW2313625266MaRDI QIDQ2855171

Rabia Bibi, Josip E. Pečarić, Martin J. Bohner, Sanja Varošanec

Publication date: 24 October 2013

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-07-28.pdf

zbMATH Keywords

integrationMinkowski functionaltime scaleMinkowski inequalityBeckenbach-Dresher inequalitysubadditivesuperadditiveBeckenbach-Dresher functional

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) 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 (26)

Weighted Hardy-type inequalities on time scales with applications ⋮ Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ Continuous forms of classical inequalities ⋮ Some new multidimensional Hardy-type inequalities with general kernels on time scales ⋮ New dynamic Hilbert-type inequalities in two independent variables involving Fenchel-Legendre transform ⋮ Fractional time-scales Noether theorem with Caputo \(\Delta\) derivatives for Hamiltonian systems ⋮ SOME REVERSE DYNAMIC INEQUALITIES ON TIME SCALES ⋮ Infinitely Many Positive Solutions for an Iterative System of Conformable Fractional Order Dynamic Boundary Value Problems on Time Scales ⋮ Some new dynamic Hardy-type inequalities with kernels involving monotone functions ⋮ Jensen's functionals on time scales ⋮ Some characterizations of dynamic weighted Hardy-type inequalities with applications ⋮ Unnamed Item ⋮ Characterizations of reverse dynamic weighted Hardy-type inequalities with kernels on time scales ⋮ New generalizations of Németh-Mohapatra type inequalities on time scales ⋮ Time scale Hardy-type inequalities with `broken' exponent \(p\) ⋮ Some new characterizations of weights in dynamic inequalities involving monotonic functions ⋮ 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 ⋮ More accurate dynamic Hardy-type inequalities obtained via superquadraticity ⋮ A unified approach to dynamic Hardy-type and Copson-type inequalities ⋮ Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives ⋮ Multidimensional Hardy-type inequalities on time scales with variable exponents ⋮ Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities ⋮ Higher integrability theorems on time scales from reverse Hölder's inequalities ⋮ Some new generalizations of weighted dynamic Hardy-Knopp type inequalities with kernels

This page was built for publication: Minkowski and Beckenbach-Dresher inequalities and functionals on time scales