Multidimensional Hilbert-type inequalities obtained via local fractional calculus

DOI10.1007/S10440-020-00317-XzbMath1459.26036OpenAlexW3003455963MaRDI QIDQ2023068

Mario Krnić, Predrag D. Vuković

Publication date: 3 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00317-x

zbMATH Keywords

Hilbert inequalityhomogeneous functionlocal fractional calculusconjugate parametersmultidimensional form

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (14)

PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ An equivalent property of a Hilbert-type integral inequality and its applications ⋮ Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ On the nondifferentiable exact solutions to Schamel's equation with local fractional derivative on Cantor sets ⋮ Refinements of local fractional Hilbert-type inequalities ⋮ Unnamed Item ⋮ A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES ⋮ NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS ⋮ Certain error bounds on the parameterized integral inequalities in the sense of fractal sets ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications

Cites Work

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