On some inequalities for convex functions
Web9 de jun. de 2024 · The Hermite–Hadamard’s inequalities [ 2, 3, 19] give us an approximation of the (integral) mean value of a continuous convex function [ 1, 14, 17 ]. Furthermore, equality holds on both sides only for affine … Web22 de nov. de 2012 · In the paper, the famous Hermite-Hadamard integral inequality for convex functions is generalized to and refined as inequalities for n-time differentiable functions which are ( α , m ) -convex.MSC: 26D15, 26A51, 41A55.
On some inequalities for convex functions
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Web22 de jul. de 2013 · We consider and study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived. Several special cases are also discussed. Results proved in this paper may stimulate further research in this area. … WebConvex Functions with applications to inequalities. Proposition 1. Let x0 with + = 1. Then the linear combination x+ y is between xand y. That is x < …
WebON SOME INEQUALITIES FOR CONVEX FUNCTIONS B.G.PACHPATTE Abstract. In the present paper we establish some new integral inequalities analogous to the well known … WebIn this paper, firstly we have established a new generalization of Hermite–Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann–Liouville fractional integral operators introduced by Raina, Lun and Agarwal. Secondly, we proved a new identity involving this generalized fractional integral operators.
Web14 de out. de 2024 · Abstract: We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove some nontrivial … Web7 de fev. de 2024 · In this paper, we assume that is a -convex set. We introduce operator -convex function. We establish some properties of operator -convex function. This …
Web26 de jun. de 2024 · In this paper, some new inequalities of the Hermite–Hadamard type for the classes of functions whose derivatives’ absolute values are m-convex and $( \alpha , m) $-convex are obtained. The results obtained in this work extend and improve the corresponding ones in the literature. Some applications to special means of real …
WebIn this paper, we establish some new Hermite–Hadamard type inequalities for preinvex functions and left-right estimates of newly established inequalities for p,q-differentiable preinvex functions in the context of p,q-calculus. We also show that the results established in this paper are generalizations of comparable results in the literature of integral … diabetes initiative programsWeb30 de jul. de 2024 · Abstract. In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically -convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically -convex functions. The properties of the newly introduced class of harmonically convex … diabetes in jamaica latest statisticsWeb1 de jul. de 2014 · Inequalities for log-convex functions. We shall start with the following refinement of the Hermite–Hadamard inequality for log-convex functions. Theorem 1. … diabetes injectable for weight lossWebUsing some results about generalized Hermite-Hadamard-Fejér type inequalities related to -convex functions, we give some examples and applications for trapezoid and midpoint type inequalities for differentiable -convex functions. cindy baker sheffield vtWebsome appropriate convex and log-convex functions, we obtain new mean inequalities for scalars and matrices, some new refinements and reverses of the Heinz and H¨older … cindy ballentineWebAbstract. The understanding of inequalities in convexity is crucial for studying local fractional calculus efficiency in many applied sciences. In the present work, we propose a new class of harmonically convex functions, namely, generalized harmonically --convex functions based on fractal set technique for establishing inequalities of Hermite … cindy ballantineWebGraph Convex Hull Bounds as generalized Jensen Inequalities Ilja Klebanov1 April 12, 2024 Abstract. Jensen’s inequality is ubiquitous in measure and probability theory, statistics, machine learning, information theory and many other areas of mathematics and data sci-ence. It states that, for any convex function f: K!R on a convex domain K Rd and cindy balicki south haven mi