Transformation of the second order modulus by positive linear operators

Author:

Pǎltǎnea Radu1,Stan Gabriel2

Affiliation:

1. Transilvania University of Braşov, Department of Mathematics, RO-500036 Braşov, Romania .

2. Department of Mathematics, Transilvania University of Braşov, RO-500036 Braşov, Romania .

Abstract

Abstract We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.

Publisher

Walter de Gruyter GmbH

Reference11 articles.

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2. [2] C. Cottin and H. H. Gonska, Simultaneous approximation and global smoothness preservation, Rend. Circ. Mat. Palermo (2) Suppl. Vol. 33, (1993), 259-279.

3. [3] T. Lindvall, Bernstein polynomials and the law of large numbers, Math. Scientist, Vol. 7, (1982), 127-139.

4. [4] M. Marin, G. Stan, Weak solutions in Elasticity of dipolar bodies with stretch, Carpathian Journal of Mathematics, Vol. 29 (1), 2013, pp. 33-40.

5. [5] C. Mortici, An extension of the Szász-Mirakjan operators, An. Şt. Univ. Ovidius Constanţa, Vol 17 (1), (2009), 137-144.

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