Simpson type inequalities and applications

DOI10.1007/S41478-021-00319-4zbMath1485.26031OpenAlexW3154061951MaRDI QIDQ2064105

Muhammad Zakria Javed, Khalida Inayat Noor, Muhammad Uzair Awan, Michael Th. Rassias, Muhammad Aslam Noor

Publication date: 4 January 2022

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

Full work available at URL: https://doi.org/10.1007/s41478-021-00319-4

zbMATH Keywords

Simpson inequalityhigher-order functionstrongly \((s,m)\)-convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

Fractional Simpson like type inequalities for differentiable \(s\)-convex functions

Cites Work

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• Some inequalities involving \(k\)-gamma and \(k\)-beta functions with applications. II
• On new inequalities of Simpson's type for \(s\)-convex functions
• On Simpson's inequality and applications
• Generalizations of Hermite-Hadamard like inequalities involving \(\chi_{\kappa}\)-Hilfer fractional integrals
• On generalized \(\mathtt{k}\)-fractional derivative operator
• Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
• Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications

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