Results 11 to 20 of about 87 (80)
An extension of the Hermite-Hadamard inequality for a power of a convex function
Open Mathematics, 2023 In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to the power functions [f(x)]n{[f\left(x)]}^{n}. Some related inequalities are also introduced.
Sayyari Yamin +3 more
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Journal of Ocean Engineering and Science, 2023 This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasma.
Saima Rashid +2 more
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Different type parameterized inequalities via generalized integral operators with applications
, 2021 The authors have proved an identity for a generalized integral operator via differentiable function with parameters. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It
LIKO, Rozana, KASHURI, Artion
core +1 more source
A new generalization of two refined Young inequalities and applications
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that if a, b > 0 and 0 ≤ α ≤ 1, then for m = 1, 2, 3, . . . ,
Ighachane M. A., Akkouchi M.
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Inequalities for the generalized trigonometric and hyperbolic functions
Open Mathematics, 2020 In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics.
Ma Xiaoyan +3 more
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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Are There Any Natural Physical Interpretations for Some Elementary Inequalities?
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
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On boundedness and compactness of a certain class of kernel operators
Journal of Function Spaces, Volume 9, Issue 1, Page 67-107, 2011., 2011 New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
wiley +1 more source
On Bellman‐Golubov theorems for the Riemann‐Liouville operators
Journal of Function Spaces, Volume 7, Issue 3, Page 289-300, 2009., 2009 Superposition of Fourier transform with the Riemann ‐ Liouville operators is studied.
Pham Tien Zung, Victor Burenkov
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Generalizations of Hölder′s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 1, Page 7-10, 2001., 2001 Some generalized Hölder′s inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
wiley +1 more source