Results 51 to 60 of about 904 (160)
New generalized Hermite-Hadamard type inequalities and applications to special means
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
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An analysis of exponential kernel fractional difference operator for delta positivity
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
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On the characterization of Jensen m-convex polynomials
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
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On some inequalities for s-convex functions and applications
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
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On strongly generalized convex functions of higher order
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
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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
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New general integral inequalities for quasi-geometrically convex functions via fractional integrals
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
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A local proof of the dimensional Pr\'ekopa's theorem [PDF]
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
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
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On some new inequalities for differentiable co-ordinated convex functions
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
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