New fractional approaches for \(n\)-polynomial \(\mathcal{P}\)-convexity with applications in special function theory

DOI10.1186/s13662-020-03000-5zbMath1486.26007OpenAlexW3090244357MaRDI QIDQ2125784

Zakia Hammouch, Shu-Bo Chen, Yu-Ming Chu, Saima Rashid, Muhammad Aslam Noor

Publication date: 14 April 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-020-03000-5

zbMATH Keywords

Ostrowski inequalitymodified Bessel functionHermite-Hadamard inequalitygeneralized fractional integralHölder-Işcan inequality\(\mathfrak{q}\)-digamma functionimproved-power-mean inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Retracted article: Hermite-Hadamard-type inequalities for \(\eta_h\)-convex functions via \(\psi\)-Riemann-Liouville fractional integrals ⋮ CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ Simpson type conformable fractional inequalities ⋮ On the generalized power-type Toader mean ⋮ A refinement of the integral Jensen inequality pertaining certain functions with applications ⋮ On more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applications ⋮ Refinements of generalised Hermite-Hadamard inequality ⋮ Some estimations of the Jensen difference and applications ⋮ Modeling approach for nanomaterial convective migration with inclusion of Lorentz force ⋮ Simulation of charging of PCM within a duct containing nanoparticles ⋮ Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals

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