Modulus of continuity
ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM
... Abstract: A reverse time problem is considered for a semi-linear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding ...
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Model Selection for Regression with Continuous Kernel Functions Using the Modulus of Continuity
... the modulus of continuity representing a measure of the continuity for the given ...the modulus of continuity to function approximation ...the modulus of continuity is ...
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On genuine Lupa\c{s}-Beta operators and modulus of continuity
... two conditions mentioned above hold true. Recently Tachev and Gupta [16] established quantitative estimates in terms of the above Pˇ altˇ anea’s modulus of continuity. The operators discussed here also ...
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On modulus of continuity of differentiation operator on weighted Sobolev classes
... Abstract In this paper we investigate the modulus of continuity of kth order differential operator, k ∈ N, on the classes of functions defined on half-line that have positive non-increasin[r] ...
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Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus
... The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [ 1 2 , ∞). This type of modification allows a better estimation of the error on [ ...
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Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces
... classical modulus of continuity, the second-order modulus of continuity, Peetres K-functional and the Lipschitz ...the modulus of continuity of order one and of order two defined ...
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A Dunkl type generalization of Szász operators via post quantum calculus
... The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the ...
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Generalized \((p,q)\) Bleimann Butzer Hahn operators and some approximation results
... We have obtained some approximation results on the Korovkin type theorem and computed the rate of convergence by using the modulus of continuity as well as Lipschitz type maximal functio[r] ...
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24. Double Trigonometric Series and Zygmund Classes of Functions with Two Variables
... of modulus of continuity, and give the necessary and sufficient conditions for double sine, sine-cosine, cosine- sine and double cosine series so that their sums belong to the generalized Zyg- mund ...
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Szász Baskakov type operators based on q integers
... In [], Aral introduced Szász-Mirakjan operators based on q-integers and established some direct results and gave two representations of the rth q-derivative of these operators. Aral and Gupta [] studied the basic ...
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Dunkl generalization of q Szász Mirakjan Kantorovich operators which preserve some test functions
... well-known Korovkin theorem and the weighted Korovkin theorem for these operators. Furthermore, we study convergence properties in terms of the modulus of continuity and the class of Lipschitz functions. ...
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On the approximation by Chlodowsky type generalization of (p,q)-Bernstein operators
... In the present article, we introduce Chlodowsky variant of (p, q)-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation ...
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On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators
... (p, q)-integers; (p, q) Bernstein operators; Chlodowsky polynomials; (p, q) Bernstein-Kantorovich operators; modulus of continuity; linear positive operator; Korovkin type approximation [r] ...
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Statistical Approximation Properties of a Generalization of Positive Linear Operators
... Abstract. In the present paper, we introduce a generalization of positive linear operators and obtain its Korovkin type statistical approximation properties. The rates of statistical convergence of this gen- eralization ...
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Approximation properties of λ Kantorovich operators
... In the particular case, when λ = 0, λ-Bernstein operators reduce to the well-known Bernstein operators. The authors of [11] have deeply studied many approximation prop- erties of λ-Bernstein operators such as uniform ...
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A method of summability of Lagrange interpolation
... Approximation by positive linear operators, discrete linear operators, Lagrange Interpolation, pointwise estimates, second order modulus of continuity, Lipschitz type maximalfunction, Bu[r] ...
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Dunkl generalization of Phillips operators and approximation in weighted spaces
... Studies on Dunkl type generalizations [13] and previous studies of Szász type operators [6,7] demonstrate an error estimation to the operators which allow us much faster approximation to the function which is being ...
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Dunkl generalization of Phillips operators and approximation in weighted spaces
... Studies on Dunkl type generalizations [14] and previous studies of Szász type operators [6,7] demonstrate an error estimation to the operators which allow us much faster approximation to the function which is being ...
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On the (p,q)−Stancu Generalization of a Genuine Baskakov-Durrmeyer Type Operators
... Abstract. In this paper, we introduce a Stancu generalization of a genuine Baskakov- Durrmeyer type operators via (p, q)− integer. We investigate approximation properties of these operators. Fur- thermore, we study on ...
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Approximation properties of q Kantorovich Stancu operator
... In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and ...
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