79 research outputs found
Ostrowski type inequalities for harmonically s-convex functions via fractional integrals
In this paper, a new identity for fractional integrals is established. Then
by making use of the established identity, some new Ostrowski type inequalities
for harmonically s-convex functions via Riemann--Liouville fractional integral
are established.Comment: 14 page
Symmetrized p-convexity and Related Some Integral Inequalities
In this paper, the author introduces the concept of the symmetrized p-convex
function, gives Hermite-Hadamard type inequalities for symmetrized p-convex
functions.Comment: 13 page
Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
In this paper, obtained some new class of Hermite-Hadamard and
Hermite-Hadamard-Fejer type inequalities via fractional integrals for the
p-hyperbolic convex functions. It is shown that such inequalities are simple
consequences of Hermite-Hadamard-Fejer inequality for the p-hyperbolic convex
function.Comment: 11 page
Some Midpoint Type Inequalities for Riemann Liouville Fractional Integrals
In the literature, there are a lot of studies about midpoint type inequalities for Riemann Liouville Fractional Integrals. But for most of them, the right and left fractional integrals are used together. In this paper, we give three new Riemann-Liouville fractional midpoint type identities for differentiable functions by using only the right or the left fractional integral. From these identities, we obtain some new midpoint type inequalities for harmonically convex functions by applying power mean and Hölder inequalities
Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals
The aim of this paper is to establish Hermite-Hadamard,
Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for
new fractional integral operators with exponential kernel. These results allow
us to obtain a new class of functional inequalities which generalizes known
inequalities involving convex functions. Furthermore, the obtained results may
act as a useful source of inspiration for future research in convex analysis
and related optimization fields.Comment: 14 pages, to appear in Journal of Computational and Applied
Mathematic
Hyperbolic type harmonically convex function and integral inequalities
In this paper, we define a new class of harmonic convexity i.e. Hyperbolic type harmonic convexity and explore its algebraic properties. Employing this new definition, some integral inequalities of Hermite-Hadamard type are presented. Furthermore, we have presented Hermite-Hadamard inequality involving Riemann Liouville fractional integral operator. We believe the ideas and techniques of this paper may inspire further research in various branches of pure and applied sciences.Publisher's Versio
Symmetry in the Mathematical Inequalities
This Special Issue brings together original research papers, in all areas of mathematics, that are concerned with inequalities or the role of inequalities. The research results presented in this Special Issue are related to improvements in classical inequalities, highlighting their applications and promoting an exchange of ideas between mathematicians from many parts of the world dedicated to the theory of inequalities. This volume will be of interest to mathematicians specializing in inequality theory and beyond. Many of the studies presented here can be very useful in demonstrating new results. It is our great pleasure to publish this book. All contents were peer-reviewed by multiple referees and published as papers in our Special Issue in the journal Symmetry. These studies give new and interesting results in mathematical inequalities enabling readers to obtain the latest developments in the fields of mathematical inequalities. Finally, we would like to thank all the authors who have published their valuable work in this Special Issue. We would also like to thank the editors of the journal Symmetry for their help in making this volume, especially Mrs. Teresa Yu
- …