Refinements of the Hermite-Hadamard inequality for co-ordinated convex mappings

• Autorzy: Budak Huseyin , Usta Fuat , Sarikaya Mehmet Zeki

Identyfikatory

DOI

10.1515/jaa-2019-0008

• Języki publikacji: EN

Abstrakty

EN

This paper is motivated by the recent progress on the Hermite-Hadamard inequality for convex functions defined on the bounded closed interval, obtained by Z. Pavić [Z. Pavić, Improvements of the Hermite-Hadamard inequality, J. Inequal. Appl. 2015 (2015), Article ID 222]. As a generalization, we obtained a new refinement of the Hermite-Hadamard inequality for co-ordinated convex functions defined on the rectangle.

Słowa kluczowe

EN

Hermite-Hadamard inequality; co-ordinated convex mappings

PL

nierówność typu Hermite'a-Hadamarda; odwzorowanie wypukłe

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2019
• Tom: Vol. 25, nr 1
• Strony: 73--81
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Budak Huseyin

• Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

autor

Usta Fuat

• Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

autor

Sarikaya Mehmet Zeki

• Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).