Estimates of upper bound for a \(k\) th order differentiable functions involving Riemann-Liouville integrals via higher order strongly \(h\)-preinvex functions

DOI10.1186/s13660-019-2146-zzbMath1499.26038OpenAlexW2970542527WikidataQ127324500 ScholiaQ127324500MaRDI QIDQ2067995

Marcela V. Mihai, Muhammad Uzair Awan, Sadia Talib, Shan-He Wu, Muhammad Aslam Noor

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2146-z

zbMATH Keywords

differentiable functionsRiemann-Liouville integralsestimates of upper boundstrongly \(h\)-preinvex functions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (8)

Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integrals ⋮ Hermite-Hadamard type inequalities in the setting of \(k\)-fractional calculus theory with applications ⋮ A self-adaptive technique for solving variational inequalities: a new approach to the problem ⋮ Inequalities for estimations of integrals related to higher-order strongly \(n\)-polynomial preinvex functions ⋮ New k-Conformable Fractional Integral Inequalities ⋮ Hermite-Hadamard inequalities for harmonic \((s, m)\)-convex functions ⋮ Some integral inequalities for \(n\)-polynomial \(\zeta\)-preinvex functions ⋮ Estimates of upper bound for differentiable functions associated with \(k\)-fractional integrals and higher order strongly \(s\)-convex functions

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