Results 21 to 30 of about 5,576,128 (87)
Logarithmic and identric mean labelings of graphs
Advances in Inequalities and Applications, 2020 unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. Graph labeling was first introduced by Rosa in 1966. Labeling of graphs is an assignment of nonnegative integers to vertices, edges or
S. Alagu, R. Kala
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Bounds for the identric mean in terms of one-parameter mean
Applied Mathematical Sciences, 2013 Ying-Qing Song +3 more
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Optimal convex combinations bounds of centroidal and harmonic means for weighted geometric mean of logarithmic and identric means [PDF]
Journal of Mathematical Inequalities, 2014 Ladislav atejíčcka
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this work, we introduce the idea of n–polynomial harmonically s–type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties. As a result, new Hermite–Hadamard, some refinements of Hermite–Hadamard and Ostrowski type integral inequalities are established, which are the generalized variants of the ...
Saad Ihsan Butt +4 more
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On Strongly Convex Functions via Caputo–Fabrizio‐Type Fractional Integral and Some Applications
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes. The aim of this paper is to study some properties of strongly convex functions via the Caputo–Fabrizio fractional integral operator.
Qi Li +5 more
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Clausius' theorem and the second law in the process of isoenergetic thermalization. [PDF]
Physical Review E, 2023 Isoenergetic thermalization amongst n bodies is a well-known irreversible process, bringing the bodies to a common temperature T_{F} and leading to a rise in the total entropy of the bodies.
Vanshay Narang, Renuka Rai, R. Johal
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Refined inequalities on the weighted logarithmic mean [PDF]
Journal of Mathematical Inequalities, 2020 Inspired by the recent work by R.Pal et al., we give further refined inequalities for a convex Riemann integrable function, applying the standard Hermite-Hadamard inequality. Our approach is different from their one in \cite{PSMA2016}. As corollaries, we
S. Furuichi, Nicucsor Minculete
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A Sharp Double Inequality between Harmonic and Identric Means [PDF]
Abstract and Applied Analysis, 2011 We find the greatest value p and the least value q in (0,1/2) such that the double inequality H(pa + (1 − p)b, pb + (1 − p)a) < I(a, b) < H(qa + (1 − q)b, qb + (1 − q)a) holds for all a, b > 0 with a ≠ b. Here, H(a, b), and I(a, b) denote the harmonic and identric means of two positive numbers a and b, respectively.
Yu-Ming Chu, Miao-Kun Wang, Zi-Kui Wang
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On approximating the modified Bessel function of the first kind and Toader-Qi mean
Journal of Inequalities and Applications, 2016 In the article, we present several sharp bounds for the modified Bessel function of the first kind I 0 ( t ) = ∑ n = 0 ∞ t 2 n 2 2 n ( n ! ) 2 $I_{0}(t)=\sum_{n=0}^{\infty}\frac{t^{2n}}{2^{2n}(n!)^{2}}$ and the Toader-Qi mean T Q ( a , b ) = 2 π ∫ 0 π ...
Zhen-Hang Yang, Yu-Ming Chu
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Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this paper, we establish some functional inequalities for generalized complete elliptic integrals with two parameters, such as estimation of bounds and mean inequalities. Our main results give (p, q)‐analogues to the early results for classical complete elliptic integrals.
Xiangkai Dou +3 more
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