scientific article; zbMATH DE number 6975357

zbMath1412.26002MaRDI QIDQ4554578

Tserendorj Batbold, Mario Krnić, Predrag D. Vuković, Josip E. Pečarić

Publication date: 8 November 2018

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convex functiontime scalesdifferential operatorintegral inequalityHermite-Hadamard inequalityHilbert-type inequalityHardy-type inequalitiesdiscrete inequalityhalf-discrete inequalitymean operatormultidimensional inequalityCarlson-type inequalityimproved Young inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Operator means involving linear operators, shorted linear operators, etc. (47A64) Real analysis on time scales or measure chains (26E70) Research exposition (monographs, survey articles) pertaining to real functions (26-02)

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On a class of Hilbert-type inequalities in the whole plane involving some classical kernel functions ⋮ A Hilbert-type inequality in the whole plane with the constant factor related to some special constants ⋮ A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function ⋮ Refinements of local fractional Hilbert-type inequalities ⋮ More accurate form of half-discrete Hilbert-type inequality with a general kernel ⋮ A class of half-discrete Hilbert-type inequalities in the whole plane involving some classical kernels ⋮ A unified approach to fractal Hilbert-type inequalities ⋮ A new discrete Hilbert-type inequality involving partial sums ⋮ On some Hilbert-Pachpatte inequalities with alternating signs

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