Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality

DOI10.1515/jaa-2019-0009zbMath1414.26034OpenAlexW2946256543WikidataQ127818062 ScholiaQ127818062MaRDI QIDQ2312391

Badreddine Meftah

Publication date: 8 July 2019

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

Full work available at URL: https://doi.org/10.1515/jaa-2019-0009

zbMATH Keywords

Ostrowski inequalitymidpoint inequalitypower mean integral inequality

Mathematics Subject Classification ID

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)

Some new generalized result of Gronwall-Bellman-Bihari type inequality with some singularity

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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