Lipschitz class
Fourier Approximation of Functions Conjugate to the Functions Belonging to Weighted Lipschitz Class
... the approximant of f. The degree of approximation of f, so obtained depends heavily on p. In this paper, we obtain the degree of approximation of f, conjugate to the function ˜ f belonging to weighted Lipschitz ...
5
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 ...
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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 ...
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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] ...
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Euler Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class
... Recently Nigam and Sharma have obtained the degree of approximation by the Karmata summability method [] and also by (C, )(E, q) means of its Fourier series [] as follows. Theorem . If a function f is π-periodic, ...
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q Bernstein Schurer Kantorovich Operators
... we give the order of approximation by means of Lipschitz class functions and the first and the second modulus of continuity. Furthermore, we compute the degree of convergence of the approximation process in ...
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Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series
... degree of approximation O(n –α ), by trigonometric polynomials of order n. A trigonomet- ric Fourier approximation, began from a well-known theorem of approximation theory i.e. the Weierstrass approximation theorem, ...
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Approximation of certain bivariate functions by almost Euler means of double Fourier series
... the Lipschitz class Lip(α, β ) and in the Zygmund class Zyg(α, β ), 0 < α, β ≤ 1, by using rectangular double matrix means of its double Fourier ...
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Legendre Wavelet expansion of functions and their Approximations
... [8] Shyam Lal and Susheel Kumar “Best Wavelet Approximation of function belonging to Generalized Lipschitz Class using Haar Scaling function,” Thai Journal of Mathematics, Vol. Roques , [r] ...
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Characterization of (δ,γ)-Dini-Lipschitz Functions in Terms of Their Jacobi-Dunkl Transforms
... In this paper, we are going to define a generalized Dini-Lipschitz class and give a characterization for functions belonging to by means of an asymptotic estimating growth of the norm of[r] ...
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Approximation by weighted means of Walsh Fourier series
... KEY WORDS AND PHRASES" Walsh system, Walsh-Fourier series, weighted mean, rate of convergence, Lipschitz class, Walsh-Dirichlet kernel, Walsh-Fej6r kernel, quasi-positive kernel.. We con[r] ...
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Chlodowsky variant of q Bernstein Schurer Stancu operators
... In Section , we introduce the Chlodowsky variant of q-Bernstein-Schurer-Stancu oper- ators and investigate the moments of the operator. In Section , we study several Korovkin- type theorems in different function spaces. ...
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Optimality and existence for Lipschitz equations
... HENDERSON, I., Uniqueness of solutions of right focal p.,[,,t boundary value problems for or.[nary dlfferenttal equations, J.. JAGKSON, L., Uniqueness of solutions of boundary value prob[r] ...
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Multi-Instance Learning with Any Hypothesis Class
... hypothesis class of Axis Parallel Rectangles (APRs), and has made APRs the hypothesis class of choice in several theoret- ical works that we mention ...
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Higher-order Lipschitz mappings
... We note in the first place that Lemma . does not imply that T is uniformly continu- ous (or even continuous) in ( X , d) as was noted in the introduction; rather, T is Lipschitz continuous (and therefore ...
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Lipschitz stratifications in power-bounded o-minimal fields
... of Lipschitz stratifications for any closed definable set in a polynomially bounded o-minimal structure on R, and, in fact, even more generally, in a power-bounded o-minimal structure on a real closed field ...a ...
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Multidimensional Hausdorff operators and commutators on Herz type spaces
... In this paper, we give necessary and sufficient conditions for the boundedness of the n-dimensional Hausdorff operators on Herz-type spaces. In addition, the sufficient condition for the boundedness of commutators generated ...
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Global Optimization with the DIRECT Algorithm
... the Lipschitz constant frequently can not be determined or reasonable ...be Lipschitz continous throughout their domains. Even if the Lipschitz constant can be estimated, a poor choice can lead to ...
160
The Fourier transforms of Lipschitz functions on the Heisenberg group
... relation α > 1/2 in [2]. Comparing the present method with that followed in [2, 3] one can say that inspite of its elegance, the proof there conceals many concrete cases and important aspects that should be more ...
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Iterative Algorithms with Variable Coefficients for Multivalued Generalized -Hemicontractive Mappings without Generalized Lipschitz Assumption
... generalized Lipschitz mapping1, Example . Furthermore, every generalized Lipschitz mapping is a bounded ...the class of generalized Lipschitz mappings is a proper subset of the class of ...
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