Fractional Jensen-Mercer Type Inequalities Involving Generalized Raina’s Function and Applications
Copyright policy ) Kamsing Nonlaopon; Muhammad Uzair Awan; Usama Asif; Muhammad Zakria Javed; Ibrahim Slimane; Artion Kashuri;
Fractional Jensen-Mercer Type Inequalities Involving Generalized Raina’s Function and Applications
The aim of this paper is to derive some new generalized fractional analogues of Mercer type inequalities, essentially using the convexity property of the functions and Raina’s function. We also discuss several new special cases which show that our results are, to an extent, unifying. In order to illustrate the significance of our results, we offer some interesting applications of our results to special means, error bounds, and q-digamma functions.
- University of Vlorë Albania
- Khon Kaen University Thailand
- Université de Mostaganem Algeria
- Government College University, Faisalabad Pakistan
Hermite–Hadamard–Mercer inequality; Raina’s function; Hölder inequality; convexity; special means; error bounds; q-digamma functions
Hermite–Hadamard–Mercer inequality; Raina’s function; Hölder inequality; convexity; special means; error bounds; q-digamma functions
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
selected citations
Citations provided by BIP!
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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 1
Average
Average
Average
gold
Fields of Science