[PDF] Top 20 3. Approximation of function $f(x, y)$ belonging to generalized Lipschitz class by $(n, p_m, q_n)$ method of the double Fourier series
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3. Approximation of function $f(x, y)$ belonging to generalized Lipschitz class by $(n, p_m, q_n)$ method of the double Fourier series
... If f(x, y) is a 2π periodic function with respect to each variable x and y, Lebesgue integrable in (−π, π) × (−π, π) and is belonging to Lip(α, β), 0 < α ≤ 1, 0 < β ≤ 1, class then the degree of ... See full document
9
A study on degree of approximation by Karamata summability method
... of Fourier series by Karamata ( K l ) summability ...of approximation of function f Î Lip (a,r ) and f Î W ( L r ,ξ( t )) by K l -summability means of its Fourier ... See full document
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Approximation of functions by (C,2)(E,1) product summability method of Fourier series
... o approximation of a function belonging to different class of functions by product summability methods were made by Lal & Singh [5], Lal & Kushwaha ...study Fourier series and ... See full document
8
A generalization of deferred Cesáro means and some of their applications
... of approximation of f ∈ H(α, p) with respect to the norm in the space H(α, p) by the deferred Woronoi-Nörlund means and the deferred Riesz means of the Fourier series of the function ... See full document
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DEGREE OF APPROXIMATION BY PRODUCT (¯(N,)pn, qn)(E, q) SUMMABILITY OF FOURIER SERIES OF A SIGNAL BELONGING TO Lip(α, r)-CLASS
... of Fourier series of 2π periodic functions on real line R (that is, Ces` aro mean, N¨ orlund mean, Matrix mean ...of approximation of functions belonging to Lip(α), Lip(α, r), Lip(ξ(t), r), (r ≥ ... See full document
8
Degree of Approximation of a Class of Function by C, 1) ( E, qMeans of Fourier Series
... of approximation of a function belonging to Lipα class by Ces`aro, N¨orlund and generalised N¨orlund single summability ...of approximation of a function belonging to Lip(α, r) class by ... See full document
5
Approximation of certain bivariate functions by almost Euler means of double Fourier series
... of approximation of functions belonging to the class Lip(ψ (u, v); p) (p > 1) by Jackson type ...of approximation for the functions belonging to the class Lip(ψ(u, v); p) (p > 1) by means of ... See full document
15
Solving high-order partial differential equations in unbounded domains by means of double exponential second kind Chebyshev approximation
... It is well known that the numerical methods have played an important role in solving PDEs. Some of the well-known numerical methods are finite differences and finite element methods [6,17]. Recently, various approximate ... See full document
16
Approximation of a Function in Hölder Class Using Double Karamata (Kλ,μ) Method
... this method for summability of Fourier ...The approximation of a 2π-periodic function f(x) in different Lipschitz classes using Ces` aro, N¨ orlund and K λ summability methods of ... See full document
12
Lr Approximation of signals (functions) belonging to weighted W(Lr,ξ(t)) class by C1⋅Np summability method of conjugate series of its Fourier series
... its Fourier series in Lipschitz and weighted spaces, ...a function f ˜ (x), conjugate to a π-periodic function f belonging to weighted W (L r , ξ (t))-class by C · N p means ... See full document
15
Corrected Fourier series and its application to function approximation
... series will not uniformly converge to f (x). The so-called Gibbs phenomenon appears near the endpoints and those discontinuities [3]. On the other hand, if f (x) is a peri- odic quasismooth ... See full document
10
On trigonometric approximation of W(Lp,ξ(t)) (p≥1) function by product (C,1)(E,1) means of its Fourier series
... Therefore the series (.) is neither (C, ) summable nor (E, ) summable. But it is (C, )(E, ) summable to . Therefore the product summability (C, )(E, ) is more pow- erful than (C, ) and (E, ). ... See full document
12
ECE-205 Lab 5 Numerical Integration, Matlab, and Fourier Series
... Maple is often used for symbolically integrating a function. Sometimes, though, what we really care about is the numerical value of the integral. Rather than integrating symbolically, we might want to just use ... See full document
7
A Study on Fourier Series with Maple
... the Fourier series method to approach (pointwise convergence) an absolutely integrable periodic function, and how to use Maple to help us solve ...the Fourier series expansion of ... See full document
5
An algorithm to separate touching grains based on Fourier series Approximation
... Abstract: - An algorithm based on Fourier series approximation is proposed for separating touching grain kernels. The algorithm starts with image acquisition of wheat grain samples in group of two, ... See full document
6
Single exponential approximation of Fourier transforms
... 4.4 Exponentially Convergent Quadrature Methods For Fourier Transforms In this section we present a method for the approximation of Fourier integrals which is highly accurate and applica[r] ... See full document
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Vol 9, No 5 (2018)
... Trigonometric Fourier approximation of the conjugate series of a function of generalized Lipchitz class by product means, Computational Intelligence in data mining, ... See full document
8
On Evaluation of Riemann Zeta function ζ(s)
... Zeta function ζ(s) can be found in the papers [15, 16, 17, 18, 20, 21] by ...and Series Representations” of the book [19] contains a rather systematic presentation of much of these recent ... See full document
10
A Cohen Type Inequality for Jacobi Sobolev Expansions
... where M, N ≥ 0. In this paper we prove a Cohen-type inequality for the Fourier expan- sion in terms of the orthonormal polynomials associated with the above Sobolev inner product. We follow Dreseler and Soardi ... See full document
10
Analytical solutions of incomplete elliptic integrals motivated by the work of Ramanujan
... in theorems (3.1) to (3.12), using some algebraic properties of Pochhammer symbol and interpreting the mul- tiple power series in hypergeometric forms of Gauss [34, p. 42(1)], Kamp´e de F´eriet [34, ... See full document
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