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Mar 31, 2011 - {vn}n are log-convex sequences, then so is the binomial convolution ..... [8] N. J. A. Sloane, âThe online Encyclopedia of Integer sequencesâ, ...
Nov 24, 2014 - CA] 24 Nov 2014. ON THE GENERALIZED CONVEXITY AND CONCAVITY. BARKAT ALI BHAYO AND LI YIN. Abstract. In this paper, authors ...
Feb 15, 2007 - 3: More Special Functions, Gordon and. Breach, New York, 1988 (trans. from the Russian by G.G. Gould), Errata: Math. Comp. 65 (1996) ...
Jul 15, 2014 - The continuous derivative above is naturally called the generalized cosine: ... Pursuing an analogy with trigonometric functions further, the ...
Jan 1, 2015 - related to an integral inequality, this inequality is known as Hermite-Hadamard inequality. Let f : I â R â R be a convex function with a < b and.
Aug 21, 2009 - The generalized Bessel function [Ba1] w = wp,b,c of the first kind and ... spherical Bessel and modified spherical Bessel functions all together. In.
Aug 9, 2010 - Dawit Gezahegn Tadesse ... the result and the convexity of the classical numerical range. ii ... [8] Let A â C2Ã2 with eigenvalues λ1,λ2.
domain of applicability of the multiobjective programming in physical sciences ... and necessary for weak efficiency in differentiable vector optimization problems.
Convexity. 2. Convexity. • Convexity is a measure of the curvature of the value of
a security or portfolio as a function of interest rates. • Duration is related to the ...
Tim N. T. Goodman, Halil Oruç, George M. Phillips / Bernstein polynomials where an empty product denotes 1 and fr = f([r]/[n]). It is necessary to explain the ...
c Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi, India. Email: [email protected]. (Received February 6, 2015; in final form ...
the Graduated Non-Convexity (GNC) algorithm. The GNC algorithm as the name suggests starts with a convex approximation of the original energy function.
objective function coefficients of mathematical programming models. ... consider the concept of generalized Hukuhara differentiable fuzzy vector mapping, which ...
University of Houston. Houston, Texas 77004. Submitted by ...... will serve as a useful notion of an âoperator-valued spectrumâ in the spirit of the papers of ...
Feb 2, 2011 - natural number frkgk2N, the sequence f k, 1x1 rk. ءءء rk k, mxmgk2N converges in Rn to _m i¼1 ixi. Proof Assertions (a) and (b) follow from:.
convex if, for each two distinct points x, y ⢠M, there exists F⢠~" such that x, y ⢠Fand F ... (A) every closed unbounded convex set whose asymptotic cone has its angular measure .... centre m(c) surrounding this arc, say S, has O in its inte
Jul 20, 2010 - them is the search for the convex roof defined by g(Ï) = S(Dn(Ï)), S again von Neumann's entropy and Dn ... extremal points of a convex set will be called âpureâ ones mostly. ... The reasoning above fails for infinitely many roof
Sep 3, 1986 - ABSTRACT. The fact that the nt h order divided difference of an (n + 2)-convex function is a symmetric, convex function of its arguments, and is ...
May 27, 1996 - functions. As a result, we re-derive, generalize or improve several inequalities due to Gautschi, Kershaw and Alzer. Also we present some new ...
'The present investigation was supported, in part, by the Japanese Ministry of Education,. Science and Culture tinder Grant-in-Aid for General Scientific ...
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Jan 29, 2018 - If the Curve is steep, then the Forward rate must be higher than the Spot rate (via bond math); so the st
Mar 13, 2004 - Diametral path: A diametral path Ï is a geodesic such that |Ï| = D. 12 ... graphs: An HHD-free graph is any graph which contain no house, hole, ...
Universidad Centroccidental Lisandro Alvarado (Barquisimeto, Venezuela) Mathematics
h-Convexity Puntos de interés especial: •
Convexity
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h-Convexity
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Operator convex functions
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Operator h-convex functions
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Hermite Hadamard Inequality Fractal Sets
She introduced her paper mentioning some previous concepts of generalizaed convexity like GodunovaLevin function and Pconvex function. As the autor said: “As we can see, definitions of convex, s-convex, P -functions and Godunova–Levin functions have a similar form: the term on the left-hand side of the inequality is the same in all definitions while the right-hand side of all inequalities has a form h(α)f (x) + h(1 − α)f (y)”. He stablish new clases of
Contenido:
1 Refinaments for Hermite-Hadamard type inequalities for operator h-convex Jensen and Hermite- 2 Hadamard Inequalities for Operator h−Convex Functions
Hermite-Hadamard and Jenses Type Inequalities for h-convex functions on Fractal Sets
In 2007, apear in Journal of Mathematics Analysis and Applications an article entitled “On h-convexity” whose author was Sanja Varosanec
3
functions, noted by SX(h, I ) and SV(h, I ), which generalize convex, s-convex functions, P -functions and Godunova–Levin functions and we will give some examples and properties of these classes. After she gave some properties about this functions and show some examples, in addition gave generalization of Jensen’s Inequality. At present, numerous articles have been written that have used this concept to find generalizations of classical inequalities with authors such as I. Iqbal, S.S. Dragomir, H. Maden, M. Bombardelli and others. The inequalities treated in the eronment of the h-convex functions have been those
corresponding to Ostrowski and Hermite-Hadamard.
Journal of Mathematical Anlysis and Applications
Sanja Varosanec
Articles published by Professors Dr. Miguel Vivas and M.Sc. Jorge E. Hernández H. In the topic corresponding to h-convexity the authors have written: “Refinements for HermiteHadamard type inequalities for Operator hConvex Functions” published by Applied Mathema-
tics and Information Science in 2017; also, “Some New Generalized Jensen and Hermite-Hadamard Inequalities for Operator h−Convex Functions” published by Applied Mathematics and Information Science in 2017 and “New
Hermite-Hadamard and Jenses Type Inequalities for h-convex functions on Fractal Sets” published by Revista Colombiana de Matemáticas in 2016.
