On fractional biparameterized Newton-type inequalities

DOI10.1186/s13660-023-03033-wOpenAlexW4387170459MaRDI QIDQ6182490

Abdelghani Lakhdari, Thabet Abdeljawad, Wedad Saleh, Badreddine Meftah

Publication date: 21 December 2023

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

Full work available at URL: https://doi.org/10.1186/s13660-023-03033-w

zbMATH Keywords

Riemann-Liouville operators\(\alpha\)-convex functionsNewton-type inequalitiesbiparameterized identityHölder and power mean inequalities

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)

Cites Work

• New inequalities of Hermite-Hadamard type for convex functions with applications
• On new inequalities of Simpson's type for \(s\)-convex functions
• Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Some inequalities for differentiable convex and concave mappings
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Certain new proportional and Hadamard proportional fractional integral inequalities
• On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings
• Some new inequalities of Simpson’s type for s-convex functions via fractional integrals
• FRACTIONAL ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH MITTAG-LEFFLER KERNEL
• ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS
• Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals
• On the fractional integral inclusions having exponential kernels for interval-valued convex functions
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