Yazar "Aral, A." için listeleme
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Approximating by Szsz-Type operators
We introduce a new Szasz-Type operators depending on weighted functions. We analyze approximation results of these operators on weighted space. Our numerical results are consistent with our theory. -
The estimates of approximation by using a new type of weighted modulus of continuity
Gadjiev, A. D.; Aral, A. (Pergamon-Elsevier Science Ltd, 2007)In this paper, we introduce a new type modulus of continuity for function f belonging to a particular weighted subspace of C (0, infinity) and show that it has some properties of ordinary modulus of continuity. We obtain ... -
<i>I-convergence of positive linear operators on Lp weighted spaces
Dirik, F.; Aral, A.; Demirci, K. (Eudoxus Press, Llc, 2008)In this paper, using the concept of I-convergence we prove a Korovkin type approximation by means of positive linear operators defined on the weighted space L-p,L-w(R). Also we state its n-dimensional analogue for the ... -
A Note on the Difference of Positive Operators and Numerical Aspects
Recently, the differences between the two operators get the attention of scientists in approximation theory due to their ability to provide the approximation properties of the operator in the difference if the approximation ... -
On behaviour of the Riesz and generalized Riesz potentials as order tends to zero
Gadjiev, A. D.; Aral, A.; Aliev, Ilham A. (Element, 2007)In this paper, we present the Riesz potentials I-alpha and the generalized Riesz potentials I-v(alpha) as the families of positive linear operators, depending on parameter alpha > 0. We investigate their pointwise convergence ... -
On the Generalized Szasz-Mirakyan Operators
In this paper, we construct sequences of Szasz-Mirakyan operators which are based on a function.. This function not only characterizes the operators but also characterizes the Korovkin set {1, rho, rho(2)} in a weighted ... -
The Picard and Gauss-Weierstrass Singular Integrals in (p, q)-Calculus
The vast development of the techniques in both the quantum calculus and the post-quantum calculus leads to a significant increase in activities in approximation theory due to applications in computational science and ... -
Remark on weighted approximation properties of generalized Picard operators
Yilmaz, B.; Bascanbaz-Tunca, G.; Aral, A. (Univ Miskolc Inst Math, 2013)In this article, we still hold the study of the generalized Picard operators P-lambda,P-beta (f; q) depending on nonisotropic beta-distance given in [3]. By continuing to deal with the nonisotropic weighted L-p,L-beta (R-n) ... -
Weighted L-p-approximation with positive linear operators on unbounded sets
Gadiiev, A. D.; Aral, A. (Pergamon-Elsevier Science Ltd, 2007)In this work we state and prove a Korovkin type theorem for the weighted space L-p,L-omega (R) and also its n-dimensional analogue for the weighted space L-p,L-Omega (R-n). (C) 2007 Elsevier Ltd. All rights reserved.