Generalized inequalities for integral operators via several kinds of convex functions

DOI10.3934/math.2020297zbMath1484.26098OpenAlexW3026456337MaRDI QIDQ2129839

Yanyan Li

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020297

zbMATH Keywords

integral operatorsfractional integral operators\((\alpha,m)\)-convex function\((h-m)\)-convex functionconformable integral operators

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)

Cites Work

• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Convex functions, partial orderings, and statistical applications
• Generalized conformable fractional operators
• On a new class of fractional operators
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• \((h-m)\)-convex functions and associated fractional Hadamard and Fejér-Hadamard inequalities via an extended generalized Mittag-Leffler function
• Some inequalities via fractional conformable integral operators
• Chebyshev type inequalities via generalized fractional conformable integrals
• Generalized \(k\)-fractional integral inequalities associated with \((\alpha ,m)\)-convex functions
• Some new inequalities for generalized fractional conformable integral operators
• (k,s)-Riemann-Liouville fractional integral and applications
• Bounds of Riemann-Liouville fractional integral operators
• Some new estimates for exponentially $(\hbar,\mathfrak{m})$-convex functions via extended generalized fractional integral operators
• New Hermite-Hadamard type inequalities for (α,m)-convex functions and applications to special means
• Convex functions and their applications. A contemporary approach
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