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Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

open access: yesJournal of Inequalities and Applications
This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran   +3 more
doaj   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE FOURTH DERIVATIVE ABSOLUTE VALUES ARE QUASI-CONVEX WITH APPLICATIONS

open access: yesJournal of New Theory, 2016
Abstaract−We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand side of ...
Imran Abbas Baloch, Basharat Rehman Ali
doaj  

Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications [PDF]

open access: yes, 2007
An Ostrowski type inequality for general convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite- Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained ...
Dragomir, Sever S   +2 more
core   +1 more source

Hermite-Hadamard inequalities and their applications. [PDF]

open access: yesJ Inequal Appl, 2018
Mihai MV   +4 more
europepmc   +1 more source

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