Approximation by linear combination of Szász-Mirakian operators

• Autorzy: H. S. Kasana , P. N. Agrawal
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 80
• Numer: 1
• Strony: 123-130

Daty

wydano

1999

otrzymano

1998-02-24

poprawiono

1998-09-17

Twórcy

autor

H. S. Kasana

• Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 001, Punjab, India

autor

P. N. Agrawal

• Department of Mathematics, University of Roorkee, Roorkee 247 667, Uttar Pradesh, India

Bibliografia

• [1] F. H. Cheng, On the rate of convergence of the Szász-Mirakian operator for functions of bounded variation, J. Approx. Theory 40 (1984), 226-241.
• [2] J. Gröf, A Szász Ottó-felé operator approximaciós tulajdonsgariól [On the approximation properties of the operators of O. Szász], Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 20 (1971), 35-44 (in Hungarian).
• [3] T. Hermann, On the Szász-Mirakian operators, Acta Math. Acad. Sci. Hungar. 32 (1978), 163-173.
• [4] H. S. Kasana, On approximation of unbounded functions by linear combinations of modified Szász-Mirakian operators, ibid. 61 (1993), 281-288.
• [5] H. S. Kasana and P. N. Agrawal, On sharp estimates and linear combinations of modified Bernstein polynomials, Bull. Soc. Math. Belg. Sér. B 40 (1988), 61-71.
• [6] H. S. Kasana, G. Prasad, P. N. Agrawal and A. Sahai, On modified Szász operators, in: Mathematical Analysis and its Applications (Kuwait, 1985), Pergamon Press, Oxford, 1988, 29-41.
• [7] C. P. May, Saturation and inverse theorems for combinations of a class of exponential operators, Canad. J. Math. 28 (1976), 1224-1250.
• [8] S. P. Singh, On the degree of approximation by Szász operators, Bull. Austral. Math. Soc. 24 (1981), 221-225.
• [9] X. H. Sun, On the simultaneous approximation of functions and their derivatives by the Szász-Mirakian operators, J. Approx. Theory 55 (1988), 279-288.