[PDF] Top 20 Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
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Approximation of a generalized Lipschitz class function by Euler - Cesàro means of Fourier series
... In this paper, I have taken product of two summability methods, Euler and Cesàro; and establish a new theorem on the degree of approximation of the function f belonging to [r] ... See full document
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On trigonometric approximation of W(Lp,ξ(t)) (p≥1) function by product (C,1)(E,1) means of its Fourier series
... the approximation theory are ob- tained by linear summation methods of Fourier series of π-periodic functions on the real line ...(i.e. Cesàro means, Nörlund means, Euler ... See full document
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... of function ˜ g , conjugate to a function g (2π-periodic) in generalized Zygmund class Y z w (z ≥ 1) using Matrix-Euler (T E q ) means of conjugate Fourier series ... See full document
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Approximation of certain bivariate functions by almost Euler means of double Fourier series
... [3] generalized the results of [9, 10], and [4] for a 2π -periodic contin- uous function f (x, y) in the Lipschitz class Lip(α, β ) and in the Zygmund class Zyg(α, β ), 0 < α, β ≤ 1, ... See full document
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Fourier Approximation of Functions Conjugate to the Functions Belonging to Weighted Lipschitz Class
... of approximation of f, so obtained depends heavily on ...of approximation of f, conjugate to the function ˜ f belonging to weighted Lipschitz class W (L p , ξ(t)) by a trigonometric ... See full document
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Degree of approximation of the conjugate of signals (functions) belonging to Lip(α,r) class by (C,1)(E,q) means of conjugate trigonometric Fourier series
... of approximation of the conjugate of 2 π -periodic signals (functions) belonging to Lip( α , r) (0 < α ≤ 1, r ≥ 1)-class by using Cesàro-Euler (C, 1)(E,q) means of their conjugate ... See full document
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1.Best approximation of functions of generalized Zygmund class by matrix-Euler summability means of Fourier series
... Best approximation, Fourier series, ( E, 1) means, matrix summability means and (∆ .E1 )- summability means, generalized Minkowski’s inequality, generalized Zygmund class.. 2013 Universi[r] ... See full document
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Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series
... weighted Lipschitz class W(L r , ξ (t)) through a Fourier series, known as the Fourier approximation in the approximation theory, have wide applications in digital filters ... See full document
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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 ... See full document
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Applications of Some Classes of Sequences on Approximation of Functions (Signals) by Almost Generalized Nörlund Means of Their Fourier Series
... periodic function, Lebesgue integrable and belonging to the Lip(α, r), (r ≥ 1) class, then the degree of approximation of the function f by almost generalized N¨ orlund means of ... See full document
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Approximation of functions in the generalized Zygmund class using Hausdorff means
... classical Fourier analysis can be extended to discrete time signals and leads to many effective algorithms that can be directly implemented on general computers or special purpose digital signal processing ... See full document
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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
... 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 approximation of ... See full document
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Euler Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class
... of approximation by the Karmata summability method [] and also by (C, )(E, q) means of its Fourier series [] as ...a function f is π-periodic, Lebesgue integrable on [, π] and ... See full document
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4. Degree of approximation of conjugate of signals (functions) belonging to the generalized weighted Lipschitz $W(L_r,\psi(t))$, $(r\geq 1)$-class by $(C,1)(E, q)$ means of conjugate trigonometric Fourier series
... of approximation of conjugate of Lip(α, p) function by (C,1)(E,1) means of conjugate series of a Fourier series, Tamkang ... See full document
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Degree of Approximation of Functions in Lipschitz Class with Muckenhoupt Weights by Matrix Means
... of approximation of periodic functions in generalized H¨older metric space through matrix means of Fourier series, where matrix T ≡ (a n,k ) has almost monotone ... See full document
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Degree of approximation of conjugate of a function belonging to Lip(ξ(t),p) class by matrix summability means of conjugate Fourier series
... 7. Applications. The following corollaries can be derived from the main theorem. Corollary 7.1 . If ξ(t) = t α , 0 < α ≤ 1, then the degree of approximation of a function f (x), conjugate to ˜ ... See full document
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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 function without ... See full document
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Integrals transforms and Fourier series containing some product os special functions
... aleph- function and the general class of ...three Fourier series for the product of some special functions like Aleph-function, generalized M-series, multivariable ... See full document
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Approximation by double Walsh polynomials
... We study the rate of approximation by rectangular partial sums, Cesro means, and de la Valle Poussin means of double Walsh-Fourier series of a function in a homogeneous Banach... is the [r] ... See full document
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On the Degree of Approximation of a Function by (C,1)(E,q) Means of Its Fourier-Laguerre Series
... Very recently, Nigam and Sharma [4] proved a theorem of such type using (E, 1) means which is entirely different from (C, k) and harmonic means of the series (1.2), they employed a condition which is ... See full document
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