Results 51 to 60 of about 53,940 (208)

Boundedness of approximate trigonometric functions

Applied Mathematics Letters, 2009
\textit{J. A. Baker} [Proc. Am. Math. Soc. 80, 411--416 (1980; Zbl 0448.39003)] and \textit{W. P. Cholewa} [Proc. Am. Math. Soc. 88, 631--634 (1983; Zbl 0547.39003)] investigated the stability of the cosine functional equation and sine functional equation, respectively. In this paper the authors consider the following functional inequality \[ |f(x+y)-f(
Kim, Gwang Hui, Lee, Young Whan
openaire   +2 more sources

The Impact of Democratization and Globalization on Environmental Sustainability in Brazil

Geological Journal, EarlyView.
Fossil fuel, economic globalisation, and economic growth drive environmental degradation while democratisation positively influences environmental quality. ABSTRACT Although Brazil still possesses significant ecological reserves, the surplus in its biocapacity has been rapidly declining in recent years.
Mustafa Naimoğlu, Mehmet Metin Dam, Serdar Ongan, Andrew Adewale Alola   +3 more
wiley   +1 more source

On trigonometric approximation of functions in the Lq norm

Demonstratio Mathematica, 2018
In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the
Mohapatra Ram N., Szal Bogdan
doaj   +1 more source

Trigonometric approximation of functions f ( x , y ) $f(x,y)$ of generalized Lipschitz class by double Hausdorff matrix summability method

Advances in Difference Equations, 2020
In this paper, we establish a new estimate for the degree of approximation of functions f ( x , y ) $f(x,y)$ belonging to the generalized Lipschitz class L i p ( ( ξ 1 , ξ 2 ) ; r ) $Lip ((\xi _{1}, \xi _{2} );r )$ , r ≥ 1 $r \geq 1$ , by double ...
Abhishek Mishra, Vishnu Narayan Mishra, M. Mursaleen   +2 more
doaj   +1 more source

Fast O(1) bilateral filtering using trigonometric range kernels [PDF]

, 2011
It is well-known that spatial averaging can be realized (in space or frequency domain) using algorithms whose complexity does not depend on the size or shape of the filter.
Chaudhury, Kunal Narayan, Sage, Daniel, Unser, Michael   +2 more
core  

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent

Journal of Numerical Analysis and Approximation Theory, 2021
In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
doaj  

Approximation of functions in Besov space by deferred Cesàro mean

Journal of Inequalities and Applications, 2016
In this paper we study the degree of approximation of functions (signals) in a Besov space by trigonometric polynomials using deferred Cesàro mean. We also deduce a few corollaries of our main result and compare them with the existing results.
Mradul Veer Singh, Madan Lal Mittal
doaj   +1 more source

Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan, Shusen Yuan, Wenxiang Deng, Haoqi Wen, Haochuan Sun, Jianyong Yao   +5 more
wiley   +1 more source

An Improved Mesh Stiffness Model for a Gear Tooth With Double Cracks on Both Sides Considering Opened and Closed States

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Research on the failure mechanisms of gears with multiple cracks has gained widespread attention. Among these, the study of the mesh stiffness characteristics of gears with multiple cracks is crucial for optimizing gear design and improving transmission reliability.
Luyan Xu, Xin Yu, Yunyun Sun
wiley   +1 more source