Georgian Mathematical Journal 13 (2006), No. 2, 297--306
Copyright Heldermann Verlag 2006
An Inverse Result in Simultaneous Approximation by Modified Beta Operators
Prerna Maheshwari
Dept. of Mathematics, H. R. Institute of Technology, Meerut Road, Ghaziabad-201005, India
mprerna_anand@yahoo.com
We study the modified Beta operators. We extend the result of V. Gupta and A. Ahmad [Istanbul Niv. Fen Fak. Mat. Derg. 54 (1995) 11--22 (1997)] and obtain an inverse result for the linear combination of these modified Beta operators in simultaneous approximation.
Keywords: Linear combinations, Peetre's K-functional, order of approximation, modulus of continuity.
MSC: 41A25, 41A30
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