Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex

DOI10.1515/JAA-2019-0017zbMath1434.26038OpenAlexW2989907264MaRDI QIDQ2292429

Badreddine Meftah

Publication date: 3 February 2020

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2019-0017

zbMATH Keywords

Ostrowski inequalityHölder inequalitymidpoint 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 (1)

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

Cites Work

• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Ostrowski type inequalities for functions whose derivatives are preinvex
• Some new Ostrwoski's inequalities for functions whose \(n\)th derivatives are \(r\)-convex
• Ostrowski inequalities for functions whose first derivatives are logarithmically preinvex
• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Improvements of some inequalities of Ostrowski type and their applications
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Convex functions, partial orderings, and statistical applications
• Some generalized inequalities involving local fractional integrals and their applications for random variables and numerical integration
• Mean value in invexity analysis
• Generalized Ostrowski type inequalities for local fractional integrals
• Invexity and generalized convexity
• Quasi-convex functions and Hadamard's inequality
• On generalized Ostrowski-type inequalities for functions whose first derivatives absolute values are convex
• OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES SATISFY CERTAIN CONVEXITY ASSUMPTIONS
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