Results 51 to 60 of about 53,939 (225)

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

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

Characteristics of Deformation and Damage of Multi‐Thin Composite Oil Shale Top Plate Under the Influence of Different Factors

Energy Science &Engineering, EarlyView.
In this study, the key control mechanism of surrounding rock stability is revealed by theoretical analysis and UDEC‐Trigon numerical simulation method, aiming at the problem that oil shale roof is prone to separation and slip deformation under complex stress.
Jiang Xiao, Yujiang Liu, Yihui Wang, Boyuan Zhang, Yulin Wang, Tongxiaoyu Wang   +5 more
wiley   +1 more source

Design of a Hydroelectronic Solar‐Tracking System for Solar Panels

Energy Science &Engineering, EarlyView.
A prototype of a passive solar‐tracking system utilizing buoyant force based on water level was developed, and its MATLAB/Simulink model was implemented. This study is expected to encourage researchers to design solar‐tracking mechanisms using metals with different thermal expansion coefficients, air, oil, and other fluids. ABSTRACT This study presents
Ufuk Süğürtin, Türker Fedai Çavuş
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

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

A new perturbative expansion of the time evolution operator associated with a quantum system

, 2005
A novel expansion of the evolution operator associated with a -- in general, time-dependent -- perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to computational ...
Agarwal G S, Agarwal G S, Amerio L, Aniello P, Aniello P Man’ko V Marmo G Porzio A Solimeno S Zaccaria F Moya Cessa H, Berlin G, Blockey C A, Bohr H, Breuer H P, Casas F, Cirac J I, Cohen-Tannoudji C, Engel K J, Fang M-F, Holevo A S, Jaynes E T, Kato T, Kato T, Magnus W, Messiah A, Militello B, Nielsen M A, P Aniello, Phoenix S J D, Reed M, Schleich W P, Seke J, Yosida K, Zaidman S   +28 more
core   +1 more source

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

Forecasting Count Data With Varying Dispersion: A Latent‐Variable Approach

Journal of Forecasting, EarlyView.
ABSTRACT Count data, such as product sales and disease case counts, are common in business forecasting and many areas of science. Although the Poisson distribution is the best known model for such data, its use is severely limited by its assumption that the dispersion is a fixed function of the mean, which rarely holds in real‐world scenarios.
Easton Huch, Candace Berrett, Mason Ferlic, Kimberly F. Sellers   +3 more
wiley   +1 more source