On some inequalities for convex functions
Web15 de abr. de 2024 · In this paper, some new Simpson’s second type quantum integral inequalities are established for convex functions. Some special cases are discussed … Web30 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 …
On some inequalities for convex functions
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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. 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. …
Websome 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 type inequalities for matrices. We get also some new and refined trace and numerical radius inequalities. Mathematics subject classification (2024): 15A39, 15A60, 15B48, 26D07. WebIn this paper, we have introduced a strongly -nonconvex function, which is the generalization of many existing definitions. We also proved several inequalities, for …
Web15 de nov. de 2024 · DOI: 10.7153/mia-2024-23-08 Corpus ID: 208139065; On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions @article{Zhao2024OnHT, title={On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions}, author={Dafang Zhao and Tianqing An and Guoju Ye … 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 …
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 …
WebThis class is more general and contains several known and new classes of p-convex and r-convex functions as special cases. We discuss some prop- erties of (p, r)-convex functions. We derive several new Hermite-Hadamard inequalities for (p, r)-convex functions. We also discuss some special cases which can be obtained from the main … inchoate llcWeb13 de abr. de 2024 · In this paper, we give several unitarily invariant norm inequalities involving convex and concave functions of \(2\times 2\) block matrices. In Section 2, we give some inequalities for an accretive-dissipative matrix T that give lower bounds for \(\left \left \left T\right \right \right \) using its diagonal blocks given in ( 1.1). inb cd ratesWebIn 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. inb business bankingWeb1 de jul. de 2024 · Convexity On generalizations of some inequalities for convex functions via quantum integrals Authors: Samet Erden Sabah Iftikhar Xiamen University … inchoate marital interestWebAbstract. 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 … inb caetiteWebON SOME INEQUALITIES FOR THE GAMMA AND PSI FUNCTIONS HORST ALZER Abstract. We present new inequalities for the gamma and psi functions, and we … inchoate in lawWebAbstract. In this paper, we introduce the class of strongly m -- M T -convex functions based on the identity given in [P. Cerone et al., 1999]. We establish new inequalities of the … inb business stream