Results 21 to 30 of about 30,951 (244)
On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurate half-
You Minghui, Sun Xia, Fan Xiansheng
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ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION
It is well known that the Darboux problem for the hyperbolic equation is correct, both in the senseof classical and generalized solutions. An integral form of the solution of the Darboux problem ina characteristic triangle for a general two-dimensional ...
M. A. Sadybekov, B. Derbissaly
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Reiber’s Diagram for Kappa Free Light Chains: The New Standard for Assessing Intrathecal Synthesis?
Oligoclonal bands are the gold standard for determination of an intrathecal immunoglobulin G synthesis and were recently included in the McDonald criteria of 2017 to diagnose relapsing multiple sclerosis (MS) as a substitute for dissemination in time ...
Philipp Schwenkenbecher +7 more
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Hyperbolically convex functions II [PDF]
A holomorphic univalent function \(f\) defined on the unit disk \(D\) is said to be hyperbolically convex if its image \(f(D)\) is a hyperbolically convex subset of \(D\). In the case of Euclidean convex functions, there are simple known characterizations, for instance \(\text{Re}\{1+zf''(z)/f'(z)\}>0\), but much less is known about hyperbolically ...
Ma, William, Minda, David
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Nowadays, problems such as greenhouse effect and air pollution become increasingly prominent. The power generation process should pay attention to the fuel cost and reduce the pollution to the environment.
Yun-Peng Li +2 more
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Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means
In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
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In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function
Zhen-Hang Yang, Yu-Ming Chu
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Starlikness Associated with Cosine Hyperbolic Function
The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family ...
Abdullah Alotaibi +3 more
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A local saddle point for the hyperbolic augmented Lagrangian function
In this paper, we study the hyperbolic augmented Lagrangian function, which is based on the hyperbolic penalty function. We ensure the existence of a local saddle point for the hyperbolic augmented Lagrangian function in nonconvex constrained ...
Lennin Mallma Ramirez +3 more
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Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function.
Onur Alp Ilhan +3 more
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