Results 61 to 70 of about 460 (101)
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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The best bounds in Gautschi's inequality
, 2000 Different approach to both Gautschi’s inequalities (1) and (2) is given. This results in obtaining the best upper bound in (1) and the best lower bound in (2). The main result is the proof of the convexity of the function [Γ(x+t)/Γ(x+s)]1/(t−s) for |t−s|
N. Elezovic, C. Giordano, J. Pečarić
semanticscholar +1 more source
, 2020 In this paper, we provide alternative proofs to some results proposed in the article ”New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions” authored by Yogesh J. Bagul.
Yogesh J. Bagul +2 more
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Moroccan Journal of Pure and Applied Analysis, 2017 In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along ...
Kashuri Artion, Liko Rozana
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, 2017 In this paper, we give some fractional integral inequalities of Ostrowski type for s-Godunova-Levin functions via Katugampola fractional integrals. We also deduce some known Ostrowski type fractional integral inequalities for Riemann-Liouville fractional
G. Farid +2 more
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Demonstratio MathematicaIn this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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Two sharp inequalities for trigonometric and hyperbolic functions
, 2012 We determine the best positive constants p and q such that (sinhx/x)p < x/sinx < (sinhx/x)q. Some applications for Wilker’s type inequalities are given. Mathematics subject classification (2010): 26D05, 26D07, 26D99.
Chao Chen, J. Sándor
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New extensions related to Fejér-type inequalities for GA-convex functions
Demonstratio MathematicaIn this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
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Inequalities Involving $q$-Analogue of Multiple Psi Functions
, 2020 Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work q-analogue of multiple psi functions of order n have been considered.
Sourav Das
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A complete monotonicity property of the multiple gamma function
, 2020 We consider the following functions fn (x) = 1− ln x + lnGn (x +1) x and gn (x) = x Gn (x +1) x , x ∈ (0,∞), n ∈N, where Gn (z) = (Γn (z))(−1) and Γn is the multiple gamma function of order n. In this work, our aim is to establish that f (2n) 2n (x) and (
Sourav Das
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