Results 21 to 30 of about 30,951 (244)

On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

open access: yesOpen Mathematics, 2022
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
doaj   +1 more source

ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
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
doaj   +1 more source

Reiber’s Diagram for Kappa Free Light Chains: The New Standard for Assessing Intrathecal Synthesis?

open access: yesDiagnostics, 2019
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
doaj   +1 more source

Hyperbolically convex functions II [PDF]

open access: yesAnnales Polonici Mathematici, 1999
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
openaire   +2 more sources

Arithmetic Optimization Algorithm Based on Cauchy Mutation Trigonometric Function Search to Solve Combined Economic Emission Dispatch Problem

open access: yesIEEE Access, 2023
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
doaj   +1 more source

Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means

open access: yesAxioms, 2022
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
doaj   +1 more source

Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications

open access: yesJournal of Inequalities and Applications, 2016
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
doaj   +1 more source

Starlikness Associated with Cosine Hyperbolic Function

open access: yesMathematics, 2020
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
doaj   +1 more source

A local saddle point for the hyperbolic augmented Lagrangian function

open access: yesExamples and Counterexamples
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
doaj   +1 more source

Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves

open access: yesResults in Physics, 2019
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
doaj   +1 more source

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