Estimates on some quadrature rules via weighted Hermite-Hadamard inequality

DOI10.2298/AADM201127013BMaRDI QIDQ5866256

Ljiljanka Kvesić, Mihaela Ribičić Penava, Josip E. Pečarić, Josipa Barić

Publication date: 13 June 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hermite-Hadamard inequalityharmonic sequenceone-point formulahigher-order convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

• Unnamed Item
• Convex functions, partial orderings, and statistical applications
• Harmonic polynomials and generalization of Ostrowski inequality with applications in numerical integration.
• Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence
• Hermite-Hadamard type inequalities for higher order convex functions and various quadrature rules
• Weighted version of general integral formula of Euler type

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