Generalized fractional inequalities for quasi-convex functions

DOI10.1186/s13662-019-1951-5zbMath1458.26076OpenAlexW2918070923WikidataQ128540216 ScholiaQ128540216MaRDI QIDQ1716405

Khuram Ali Khan, Saleem Ullah, Asif Waheed, Ghulam Farid, Sajid Mehmood

Publication date: 4 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-019-1951-5

zbMATH Keywords

Mittag-Leffler functionconvex functionHadamard inequalityfractional integral operatorsquasi-convex function

Mathematics Subject Classification ID

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

Related Items (15)

Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions ⋮ Boundedness of fractional integral operators containing Mittag-Leffler functions via \((s,m)\)-convexity ⋮ On bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions ⋮ Some new Chebyshev type inequalities for fractional integral operator containing a further extension of Mittag-Leffler function in the kernel ⋮ Derivation of bounds of several kinds of operators via \((s,m)\)-convexity ⋮ On boundedness of unified integral operators for quasiconvex functions ⋮ R-convexity in R-vector spaces ⋮ Unnamed Item ⋮ Bounds of Riemann-Liouville fractional integral operators ⋮ Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions ⋮ Estimations of fractional integral operators for convex functions and related results ⋮ Generalized \(k\)-fractional integral inequalities associated with \((\alpha ,m)\)-convex functions ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via conformable fractional integrals ⋮ Study of fractional integral inequalities involving Mittag-Leffler functions via convexity ⋮ Boundedness of fractional integral operators containing Mittag-Leffler function via exponentially \(s\)-convex functions

Cites Work

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