Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals
Copyright policy )Generalized fractional inequalities of the Hermite-Hadamard type via new Katugampola generalized fractional integrals
A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for a positive convex stochastic process, are established. Other known results are easily deduced as particular cases of these inequalities. The obtained results also hold for any convex function.
- University of Hafr Al-Batin Saudi Arabia
mittag-leffler function, generalized katugampola fractional integral, convex and positive stochastic process, QA1-939, hermite-hadamard inequalities, Mathematics
mittag-leffler function, generalized katugampola fractional integral, convex and positive stochastic process, QA1-939, hermite-hadamard inequalities, Mathematics
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).2 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
Citations provided by BIP!Popularity provided by BIP!