Results 51 to 60 of about 904 (160)

New generalized Hermite-Hadamard type inequalities and applications to special means

open access: yes, 2013
In this paper, Hermite-Hadamard type inequalities involving Hadamard fractional integrals for the functions satisfying monotonicity, convexity and s-e-condition are studied. Three classes of left-type Hadamard fractional integral identities including the
Jinrong Wang, Chun Zhu, Yong Zhou
semanticscholar   +1 more source

An analysis of exponential kernel fractional difference operator for delta positivity

open access: yesNonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

On the characterization of Jensen m-convex polynomials

open access: yesMoroccan Journal of Pure and Applied Analysis, 2017
The main objective of this research is to characterize all the real polynomial functions of degree less than the fourth which are Jensen m-convex on the set of non-negative real numbers. In the first section, it is established for that class of functions
Lara Teodoro   +3 more
doaj   +1 more source

On some inequalities for s-convex functions and applications

open access: yes, 2013
Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained.
M. Özdemir   +3 more
semanticscholar   +1 more source

On strongly generalized convex functions of higher order

open access: yesMathematical Inequalities & Applications, 2019
In this paper, we have introduced the notion of strongly generalized convex functions of higher order. We derived new integral inequalities of Hermite-Hadamard and HermiteHadamard-Féjer type for the class of strongly generalized convex functions of ...
S. K. Mishra, N. Sharma
semanticscholar   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

open access: yesDemonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

New general integral inequalities for quasi-geometrically convex functions via fractional integrals

open access: yes, 2013
In this paper, the author introduces the concept of the quasi-geometrically convex functions, gives Hermite-Hadamard’s inequalities for GA-convex functions in fractional integral forms and defines a new identity for fractional integrals.
I. Işcan
semanticscholar   +1 more source

A local proof of the dimensional Pr\'ekopa's theorem [PDF]

open access: yes, 2014
The aim of this paper is to find an expression for second derivative of the function $\phi(t)$ defined by $$\phi(t) = \lt(\int_V \vphi(t,x)^{-\beta} dx\rt)^{-\frac1{\be -n}},\qquad \beta\not= n,$$ where $U\subset \R$ and $V\subset \R^n$ are open bounded ...
Nguyen, Van Hoang
core  

Structural results on convexity relative to cost functions

open access: yes, 2012
Mass transportation problems appear in various areas of mathematics, their solutions involving cost convex potentials. Fenchel duality also represents an important concept for a wide variety of optimization problems, both from the theoretical and the ...
A. Karakhanyan   +13 more
core   +1 more source

On some new inequalities for differentiable co-ordinated convex functions

open access: yes, 2012
Several new inequalities for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite- Hadamard type inequality for co-ordinated convex functions in two variables are obtained.Mathematics ...
M. Latif, S. Dragomir
semanticscholar   +1 more source

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