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Extensions and Refinements of Fejer and Hermite–Hadamard Type Inequalities
Department of Mathematics, University of Haifa, Haifa, Israel.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UIT The Arctic University of Norway, Narvik, Norway.
2018 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 21, no 3, p. 759-772Article in journal (Refereed) Published
Abstract [en]

In this paper extensions and refinements of Hermite-Hadamard and Fejer type inequalities are derived including monotonicity of some functions related to the Fejer inequality and extensions for functions, which are 1-quasiconvex and for function with bounded second derivative. We deal also with Fejer inequalities in cases that p, the weight function in Fejer inequality, is not symmetric but monotone on [a, b] .

Place, publisher, year, edition, pages
Element , 2018. Vol. 21, no 3, p. 759-772
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-70848DOI: 10.7153/mia-2018-21-54ISI: 000444628200011Scopus ID: 2-s2.0-85052715296OAI: oai:DiVA.org:ltu-70848DiVA, id: diva2:1247659
Note

Validerad;2018;Nivå 2;2018-09-12 (svasva)

Available from: 2018-09-12 Created: 2018-09-12 Last updated: 2018-10-10Bibliographically approved

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