Results 31 to 40 of about 40,195 (268)
Hermite-Hadamard type inequalities via new exponential type convexity and their applications
Filomat, 2021 In this paper, authors study the concept of (s,m)-exponential type convex functions and their algebraic properties. New generalizations of Hermite-Hadamard type inequality for the (s,m)-exponential type convex function ? and for the products of two (s,m)-exponential type convex functions ? and ? are proved.
Saad Butt, Artion Kashuri, Jamshed Nasir
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The law of iterated logarithm for the estimations of diffusion-type processes
Advances in Difference Equations, 2020 This paper mainly discusses the asymptotic behaviours on the lasso-type estimators for diffusion-type processes with a small noise. By constructing the objective function on the estimation, in view of convexity argument, it is proved that the estimator ...
Mingzhi Mao, Gang Huang
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Proof mining in metric fixed point theory and ergodic theory [PDF]
, 2009 In this survey we present some recent applications of proof mining to the fixed point theory of (asymptotically) nonexpansive mappings and to the metastability (in the sense of Terence Tao) of ergodic averages in uniformly convex Banach spaces.Comment ...
Leustean, Laurentiu
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Journal of Numerical Analysis and Approximation Theory, 2010 In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type ...
Naveed Latif, Josip Pečarić
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n-exponential convexity of divided differences and related Stolarsky type means [PDF]
Mathematical Inequalities & Applications, 2013 In this paper we consider functionals with divided differences. Two of them use majorization type results, where one is related with Schur convexity. The others are related to Jensen inequality and Hermite-Hadamard inequalities. We use them in studying Stolarsky type means. A method of producing n-exponentially convex functions is applied using divided
Roqia, Ghulam +2 more
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Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions [PDF]
IEEE Access, 2020 Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results.
N. Mehreen, M. Anwar
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Fractal and Fractional, 2023 The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related.
Muhammad Bilal Khan +3 more
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Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures [PDF]
, 2012 From geometrical point of view, Eve (2003) studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean.
Tameja, Inder Jeet
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Ostrowski type inequalities via exponentially $s$-convexity on time scales
Advances in the Theory of Nonlinear Analysis and its Application, 2022 We introduce the concept of exponentially $s$-convexity in the second sense on a time scale interval. We prove among other things that if $f: [a, b]\to \mathbb{R}$ is an exponentially $s$-convex function, then \begin{align*} &\frac{1}{b-a}\int_a^b f(t)\Delta t\\ &\leq \frac{f(a)}{e_{\beta}(a, x_0) (b-a)^{2s}}(h_2(a, b))^s+\frac{f(b)}{e_{
Svetlin GEORGİEV +2 more
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Journal of Mathematics, 2020 In this paper, the authors investigated the concept of s,m-exponential-type convex functions and their algebraic properties. New generalizations of Hermite–Hadamard-type inequality for the s,m-exponential-type convex function ψ and for the products of ...
Artion Kashuri +5 more
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