Yazar "Gadjiev, A. D." seçeneğine göre listele

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    The estimates of approximation by using a new type of weighted modulus of continuity
    (Pergamon-Elsevier Science Ltd, 2007) Gadjiev, A. D.; Aral, A.
    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 some estimates of approximation of functions with respect to a suitable weighted norm via the new type moduli of continuity. Finally, we give some examples. (C) 2007 Elsevier Ltd. All rights reserved.
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    On approximation properties of a family of linear operators at critical value of parameter
    (Academic Press Inc Elsevier Science, 2006) Aliev, Ilham A.; Gadjiev, A. D.; Aral, Ali
    We introduce the family of linear operators [GRAPHICS] associated to a certain "admissible bunch" of operators S-t, t > 0, acting on L-p (R-n, dm, and investigate the approximation properties of this family as alpha -> 0(+). We give some applications to the Riesz and the Bessel potentials generated by the ordinary (Euclidean) and generalized translations. (C) 2005 Elsevier Inc. All rights reserved.
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    On behaviour of the Riesz and generalized Riesz potentials as order tends to zero
    (Element, 2007) Gadjiev, A. D.; Aral, A.; Aliev, Ilham A.
    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 and convergence in the norm as alpha -> 0. We investigate also the order of approximation of these families and show in particular that the order of approximation at the Lipschitz points is independent from Lipschitz degree.