Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales
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Publication:3574871
zbMath1212.26057arXiv0910.4115MaRDI QIDQ3574871
Moulay Rchid, Sidi Ammi, Delfim F. M. Torres
Publication date: 2 July 2010
Full work available at URL: https://arxiv.org/abs/0910.4115
time scalesdynamic inequalitiesHardy's inequalitiesdiamond-alpha integralstwo-dimensional Hölder's inequalities
Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) Real analysis on time scales or measure chains (26E70)
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Weighted Hardy-type inequalities on time scales with applications ⋮ The diamond integral reverse Hölder inequality and related results on time scales ⋮ Inequalities for interval-valued Riemann diamond-alpha integrals ⋮ Integral inequalities on time scales via the theory of isotonic linear functionals ⋮ Hardy-Leindler type inequalities for multiple integrals on time scales ⋮ Littlewood and Bennett inequalities on time scales ⋮ Diamond-\(\alpha\) weighted Ostrowski type and Grüss type inequalities on time scales ⋮ Some dynamic inequalities involving Hilbert and Hardy-Hilbert operators with kernels ⋮ Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus ⋮ Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales ⋮ Generalizations of Hölder inequality and some related results on time scales ⋮ A functional generalization of diamond-\(\alpha \) integral Hölder's inequality on time scales ⋮ The diamond integral on time scales ⋮ Some inequalities for exponentially convex functions on time scales ⋮ Dynamic Littlewood-type inequalities ⋮ Hardy and Littlewood inequalities on time scales
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