Some new and general versions of q-Hermite-Hadamard-Mercer inequalities

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2023 Turkey English Publisher:National Library of SerbiaJournal:Filomat, volume 37, pages 4,531-4,548 (issn: 0354-5180, eissn: 2406-0933,

Copyright policy )

Authors: Ali, Muhammad Aamir; Budak, HÜSEYİN; Kobis, Elisabeth;

doi: 10.2298/fil2314531a

Some new and general versions of q-Hermite-Hadamard-Mercer inequalities

- Summary
- Metrics

Abstract

In this paper, we establish two new different and general variants of q-Hermite-Hadamard- Mercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into some existing and new inequalities for different choices of q ? (0, 1) and ? ? (0, 1] . Finally, we study some mathematical examples to assure the validity of newly established inequalities.

Country

Turkey

Related Organizations

University of Kocaeli
Turkey
Norwegian University of Science and Technology
Norway
Nanjing Normal University
China (People's Republic of)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

1

Average

gold