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Abstract (2. Language): 
In this paper, we prove a converse theorem for Baskakov-Beta operators, using the device of Peetre's K-functional.



1. P.N.Agrawal and Vijay Gupta, Simultaneous approximation by linear combination of modified Bernstein polynomials.Bull. Soe. Math. Greece, 30 ( I989),21-29.
2. P.N.Agrawal, Vijay Gupta and A.Sahai, On convergence of derivatives of linear combinations of modified Lupasoperators.Publ.de LTnsl Math. 45 (59) (1989), 147-154.
3. I l.Bcrens and G.G.Lorentz, Inverse theorem for Bernstein polynomials, Indiana Univ. Math. .1.21 (1972) 693-708.
4. Z.Ditzian and K.lvanov, Bernsleian-type operators and their derivatives, .1. Approx.Theory 56 (1989), 72-90.
5. J.L. Durrmeyer,
e Formule d'inversion de a transformée de laplace. Applications a la theory des Moments, These de 3e cycle. Faculté des sciences de 'Université' de Paris 1967.
6. Vijay Gupta, P.N.Agrawal, A.Sahi and T.A.K.Sinha. Lp-approximation by combination of modified Szasz-Mirakyan operators. Demons. Math. XXIII, (3) (1990) 577-591.
7- Vijay Gupta and P.N. Agrawai , An estimate of the rate of convergence for modified Szasz-Mirakyan operators of function of bounded variation, Publ de L' Inst. Math. 49 (63) < 199I),97-103
8. Vijay Gupta, A note on the modi lied Baskakov operators, Approx. Theory and its Appl. 10:3(1994). 74-78.
9. Vijay Gupta, Approximation by Szasz-Durrmeyer operators,Proc. 57lh Annual Conf Indian Math. Soc, Aligarh. India (1991).
10. Vijay Gupta and P.N.Agrawal, Lp -approximation by iterative combination of Phillips operators, Publ.de LTnsl. Math. 52(66)(1992),101-I09.
11. M.I leilmann and M.W.Muller, On simultaneous approximation by the method of Baskakov-Durrmeyer operators, Numer. Funct. Anal, and Oplimiz. 10 (1989) 127-138.
12. R.P.Sinha, P.N.Agrawal and Vijay Gupta , On simultaneous approximation by modified Baskakov operators , BulLSocMath. Belg.Ser.B 43(2) ( 1991 )217-231.

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