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[PDF] Top 20 Degree of Approximation of Functions in Lipschitz Class with Muckenhoupt Weights by Matrix Means

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Degree of Approximation of Functions in Lipschitz Class with Muckenhoupt Weights by Matrix Means

Degree of Approximation of Functions in Lipschitz Class with Muckenhoupt Weights by Matrix Means

... extended Lipschitz class Lip(α, p) to Lip(α, p, w), and proved the weighted version of the Theorem 1 and Theorem 2 of Chandra [7] for 1 < p < ∞, 0 < α ≤ 1 ... See full document

5

APPROXIMATION OF PERIODIC FUNCTIONS BY SUB-MATRIX MEANS OF THEIR FOURIER SERIES

APPROXIMATION OF PERIODIC FUNCTIONS BY SUB-MATRIX MEANS OF THEIR FOURIER SERIES

... on approximation of periodic functions are extended in two directions: Improving the degree of approximation of periodic functions by sub-matrix means of its Fourier ... See full document

9

Trigonometric approximation of functions belonging to Lipschitz class by matrix (C1⋅Np) operator of conjugate series of Fourier series

Trigonometric approximation of functions belonging to Lipschitz class by matrix (C1⋅Np) operator of conjugate series of Fourier series

... summability matrices with monotone rows has been proved by various investigators like Khan [], Mittal et al. [, ], Mittal, Rhoades and Mishra [], Qureshi [], Chandra [], Leindler [], Rhoades et al. []. Recently ... See full document

10

Fourier Approximation of Functions Conjugate to the Functions Belonging to Weighted Lipschitz Class

Fourier Approximation of Functions Conjugate to the Functions Belonging to Weighted Lipschitz Class

... Hausdorff means of the conjugate Fourier series of f and improved previous results in the light of Kranz et ...The degree of approximation of f ˜ obtained in [2] is of order (n + 1) β+1/p ξ(1/(n + ... See full document

5

q Bernstein Schurer Kantorovich Operators

q Bernstein Schurer Kantorovich Operators

... of approximation by means of Lipschitz class functions and the first and the second modulus of ...the degree of convergence of the approximation process in terms of the ... See full document

15

Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series

Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series

... of approximation O(n –α ), by trigonometric polynomials of order ...Fourier approximation, began from a well-known theorem of approximation theory ...Weierstrass approximation theorem, which ... See full document

10

Euler Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class

Euler Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class

... The degree of approximation of the function f ∈ Lip α and Lip(α, r), r ≥ , classes have been determined by several investigators like Alexits [], Sahney and Goel [], Chandra [], Qureshi [, ] and ... See full document

14

Approximation of functions in the generalized Zygmund class using Hausdorff means

Approximation of functions in the generalized Zygmund class using Hausdorff means

... Hausdorff matrix and the product of two Hausdorff matrices is again a Hausdorff matrix ...the degree of approximation of functions belonging to various Lipschitz classes using Haus- ... See full document

11

Chlodowsky variant of q Bernstein Schurer Stancu operators

Chlodowsky variant of q Bernstein Schurer Stancu operators

... by means of Lipschitz class functions and the first modulus of ...the degree of convergence of the approximation process in terms of the first modulus of continuity of the ... See full document

14

DEGREE OF APPROXIMATION BY PRODUCT (¯(N,)pn, qn)(E, q) SUMMABILITY OF FOURIER SERIES OF A SIGNAL BELONGING TO  Lip(α, r)-CLASS

DEGREE OF APPROXIMATION BY PRODUCT (¯(N,)pn, qn)(E, q) SUMMABILITY OF FOURIER SERIES OF A SIGNAL BELONGING TO Lip(α, r)-CLASS

... periodic functions on real line R (that is, Ces` aro mean, N¨ orlund mean, Matrix mean ...periodic functions of Lip(α, r)-class. The degree of approximation of functions ... See full document

8

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

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

... [5] H. H. Khan, A note on a theorem of Izumi, Comm. Fac. Maths. Ankara, 31, (1982), 123-127. [6] S. Lal, and P.N. Singh, Degree of approximation of conjugate of Lip(α, p) function by (C,1)(E,1) means ... See full document

14

CLASS USING LOWER TRIANGULAR MATRIX SUMMABILITY METHOD

CLASS USING LOWER TRIANGULAR MATRIX SUMMABILITY METHOD

... the degree of approximation of functions belonging to Lip(α,r) class by Nörlund  N,p n  and generalized Nörlund (N,p,q) ...the degree of approximation of a function f  Lip (  ... See full document

8

Degree of approximation of conjugate of a function belonging to Lip(ξ(t),p) class by matrix summability means of conjugate Fourier series

Degree of approximation of conjugate of a function belonging to Lip(ξ(t),p) class by matrix summability means of conjugate Fourier series

... [5] G. H. Hardy, Divergent Series, Clarendon Press, Oxford, 1949. MR 11#25a. Zbl 032.05801. [6] H. H. Khan, On the degree of approximation of functions belonging to class Lip (α, p), Indian J. ... See full document

9

Functional approximation in Besov space using generalized Nörlund–Hausdorff product matrix

Functional approximation in Besov space using generalized Nörlund–Hausdorff product matrix

... a degree of approximation of certain functions in different functional spaces such as Lipschitz space and Hölder spaces using single and product summability ...the degree of ... See full document

17

Best approximation of functions in generalized Hölder class

Best approximation of functions in generalized Hölder class

... Our motivation for this work is to consider a more advanced class of functions that can provide best approximation by a trigonometric polynomial of degree not more than r. Therefore, in this ... See full document

15

Degree of Approximation of a Class of Function by C, 1) ( E, qMeans of Fourier Series

Degree of Approximation of a Class of Function by C, 1) ( E, qMeans of Fourier Series

... the degree of approximation of a function f(x), periodic with period 2π and belonging to the class Lip (α, p ) for 0 < α ≤ 1, p ≥ 1 by (C, 1) (E, 1) means of conjugate series of a Fourier ... See full document

5

2. Approximation of functions by matrix-Euler summability means of Fourier series in generalized  Holder metric

2. Approximation of functions by matrix-Euler summability means of Fourier series in generalized Holder metric

... the approximation of functions in H¨ older space H (w) ...the degree of approximation of functions f ∈ H r (w) , (r ≥ 1), by Matrix-Euler ... See full document

11

Trigonometric Approximation of Signals (Functions) Belonging to

Trigonometric Approximation of Signals (Functions) Belonging to 𝑊(𝐿𝑟,𝜉(𝑡)) Class by Matrix (𝐶1⋅𝑁𝑝) Operator

... the degree of approximation of 2π-periodic signals functions belonging to Lip α, r class of functions through trigonometric Fourier approximation using different summability ... See full document

12

On degree of approximation of conjugate series of a Fourier series by product summability

On degree of approximation of conjugate series of a Fourier series by product summability

... Buxi, On Degree of Approximation by Product Means of Conjugate Series of Fourier Series, International Journal of Math.. Sahoo, On degree of Approximation of Fourier Series by Product Me[r] ... See full document

6

Integral means of certain class of analytic functions

Integral means of certain class of analytic functions

... Department of Mathematics Changsha Communications Institute Changsha, Hunan 410076 People’s Republic of China.. In this paper we discuss the following class of functions..[r] ... See full document

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