Fractional Ostrowski Type Inequalities for Functions Whose Mixed Derivatives are Prequasiinvex and alpha-Prequasiinvex Functions

DOI10.22342/jims.25.2.751.92-107zbMath1451.26029OpenAlexW2969852777MaRDI QIDQ5141977

Abdourazek Souahi, Badreddine Meftah, Meriem Merad

Publication date: 29 December 2020

Published in: Journal of the Indonesian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22342/jims.25.2.751.92-107

zbMATH Keywords

Hölder inequalityintegral inequalityprequasiinvex functions\( \alpha\)-prequasiinvex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Other analytical inequalities (26D20)

Cites Work

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• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Some new Ostrwoski's inequalities for functions whose \(n\)th derivatives are \(r\)-convex
• Ostrowski inequalities for functions whose first derivatives are logarithmically preinvex
• Entropy analysis of integer and fractional dynamical systems
• A new generalization of Ostrowski-type inequality involving functions of two independent variables
• Some new Ostrowski's inequalities for functions whose \(n^{\text{th}}\) derivatives are logarithmically convex
• On new inequalities via Riemann-Liouville fractional integration
• Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex
• On some Hadamard-type inequalities for \((h_1, h_2)\)-preinvex functions on the co-ordinates
• On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals
• Nuevas desigualdades de Ostrwoski
• SOME NEW OSTRWOSKI’S INEQUALITIES FOR n-TIMES DIFFERENTIABLE MAPPINGS WHICH ARE QUASI-CONVEX
• Conversation and Games

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