Some new inequalities via \(s\)-convex functions on time scales

DOI10.2478/ausm-2021-0014zbMath1476.26021OpenAlexW3196312550MaRDI QIDQ2062503

Matloob Anwar, Naila Mehreen

Publication date: 27 December 2021

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2021-0014

zbMATH Keywords

time scale\(s\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Real analysis on time scales or measure chains (26E70)

Cites Work

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• Diamond-\(\alpha \) Jensen's inequality on time scales
• Hermite-Hadamard inequality on time scales
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Some remarks on \(s\)-convex functions
• \(s\)-convex functions on discrete time domains
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Hermite-Hadamard type inequalities for exponentially \(p\)-convex functions and exponentially \(s\)-convex functions in the second sense with applications
• Some inequalities via \(\psi\)-Riemann-Liouville fractional integrals
• Ostrowski type inequalities via some exponentially convex functions with applications
• Inequalities on Time Scales: A Survey
• OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES SATISFY CERTAIN CONVEXITY ASSUMPTIONS

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