ArticleOriginal scientific text

Title

Approximation by linear combination of Szász-Mirakian operators

Authors 1, 2

Affiliations

  1. Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 001, Punjab, India
  2. Department of Mathematics, University of Roorkee, Roorkee 247 667, Uttar Pradesh, India

Bibliography

  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.
Pages:
123-130
Main language of publication
English
Received
1998-02-24
Accepted
1998-09-17
Published
1999
Exact and natural sciences