Generalizations of the Jensen functional involving diamond integrals via Abel-Gontscharoff interpolation

DOI10.1186/s13660-021-02748-yzbMath1506.26022OpenAlexW4205747304WikidataQ114061331 ScholiaQ114061331MaRDI QIDQ2129102

Shanaz Bano, Ammara Nosheen, Rabia Bibi, Josip E. Pečarić

Publication date: 22 April 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02748-y

zbMATH Keywords

Green functionJensen inequalityAbel-Gontscharoff interpolation polynomialtime-scales calculus

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Real analysis on time scales or measure chains (26E70)

Cites Work

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• Generalization of Jensen-type linear functional on time scales via lidstone polynomial
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Sharp Error Estimates for Interpolatory Approximation on Convex Polytopes

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