The Minkowski inequalities via generalized proportional fractional integral operators

DOI10.1186/s13662-019-2229-7zbMath1485.26026OpenAlexW2962466288WikidataQ127478040 ScholiaQ127478040MaRDI QIDQ2114292

Thabet Abdeljawad, Gauhar Rahman, Aftab Khan, Kottakkaran Sooppy Nisar

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2229-7

zbMATH Keywords

inequalityMinkowski inequalitiesgeneralized proportional fractional integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral operators (45P05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (33)

Inequalities for a unified integral operator for strongly \((\alpha,m)\)-convex function and related results in fractional calculus ⋮ Certain generalized fractional integral inequalities ⋮ Some new fractional inequalities involving convex functions and generalized fractional integral operator ⋮ Some new inequalities for generalized fractional conformable integral operators ⋮ On the weighted fractional Pólya-Szegö and Chebyshev-types integral inequalities concerning another function ⋮ Some generalized fractional integral inequalities with nonsingular function as a kernel ⋮ Chebyshev-type inequalities involving \((k, \psi)\)-proportional fractional integral operators ⋮ Generalized proportional fractional integral functional bounds in Minkowski's inequalities ⋮ Some new generalized result of Gronwall-Bellman-Bihari type inequality with some singularity ⋮ Grüss-type integrals inequalities via generalized proportional fractional operators ⋮ Unified integral operator inequalities via convex composition of two functions ⋮ Generalized proportional fractional integral inequalities for convex functions ⋮ Ostrowski-type inequalities pertaining to Atangana-Baleanu fractional operators and applications containing special functions ⋮ Weighted Hermite-Hadamard inequalities for \(r\)-times differentiable preinvex functions for \(k\)-fractional integrals ⋮ Inequalities for a unified integral operator via \((\alpha,m)\)-convex functions ⋮ EXISTENCE AND STABILITY RESULTS FOR COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING AB-CAPUTO DERIVATIVE ⋮ EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA–BALEANU DERIVATIVE ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Inequalities of Hardy type via superquadratic functions with general kernels and measures for several variables on time scales ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Minkowski's inequalities via \(\psi\)-Riemann-Liouville fractional integral operators ⋮ Some fractional proportional integral inequalities ⋮ Chebyshev type inequalities via generalized fractional conformable integrals ⋮ The existence of solutions for nonlinear fractional boundary value problem and its Lyapunov-type inequality involving conformable variable-order derivative ⋮ Certain Grüss-type inequalities via tempered fractional integrals concerning another function ⋮ Refinements of some integral inequalities for unified integral operators ⋮ Ostrowski-type inequalities for \(n\)-polynomial \(\mathscr{P} \)-convex function for \(k\)-fractional Hilfer-Katugampola derivative ⋮ New estimates considering the generalized proportional Hadamard fractional integral operators ⋮ NEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION ⋮ Certain inequalities via generalized proportional Hadamard fractional integral operators ⋮ On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

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