Generalized Steffensen's inequality by Montgomery identity

DOI10.1186/s13660-019-2147-yzbMath1499.26073OpenAlexW2960141504MaRDI QIDQ2067957

Asfand Fahad, Adil Naseer, Saad Ihsan Butt, Josip E. Pečarić

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2147-y

zbMATH Keywords

Green functionSteffensen inequalityMontgomery identity\((n+1)\)-convex function at point

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)

Related Items (1)

Extension of Montgomery identity via Taylor polynomial on time scales

Cites Work

• New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
• Generalized Steffensen's inequality by Lidstone interpolation and Montogomery's identity
• Connections among some inequalities of Gauss, Steffensen and Ostrowski
• Convex functions, partial orderings, and statistical applications
• On Zipf-Mandelbrot entropy
• Optimal Hardy inequalities for Schrödinger operators on graphs
• Steffensen’s inequality and 𝐿¹-𝐿^{∞} estimates of weighted integrals
• Linear operators inequality for $n$-convex functions at a point
• Popoviciu type inequalities via Green function and generalized Montgomery identity
• Generalized Steffensen's inequality
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
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