Direct theorems for modified Basakov operators in Lp-spaces

• Autorzy: Maheshwari P.
• Języki publikacji: EN

Abstrakty

EN

In the year 1993, Gupta and Srivastava [3] introduced the integral modication of the well known Basakov operators by taking the weight functions of Szasz basis function, so called Baskakov-Szasz operators. To prove our one of the direct theorems, we use the technique of a mathematical tool which is the linear approximating method and is known as the Steklov means.

Słowa kluczowe

EN

operators; Steklov mean

PL

operatory; wartość Steklova

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 3
• Strony: 553--565
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Maheshwari P.

• Department of Mathematics SRM-University NCR Campus Modinagar-201204, Ghaziabad (U.P.),

Bibliografia

• [1] S. Goldberg, A. Meir, Minimum moduli of ordinary differential operators, Proc. London Math. Soc. 3 23 (1971), 1-15.
• [2] E. Hewitt, K. Stromberg, Real and Abstract Analysis. A modern treatment of the theory of functions of a real variable, Springer-Verlag, New York, 1965.
• [3] V. Gupta, G. S. Srivastava, Simultaneous approximation by Baskakov Szasz type operators, Bull. Math. Soc. Sci. Math. R.S. Roumanie 37 (85) nr. 3-4, 1993.
• [4] C. P. May, Saturation and inverse theorem for the combinations of class exponential type operators, Canad. J. Math. 28 (1976), 1224-1250.
• [5] A. F. Timan, Theory of Approximation of Functions of a Real Variable, International Series of Monographs in Pure and Applied Mathematics, vol. 34. A Pergamon Press book. The Macmillan, New York, 1963.
• [6] B. Wood, Lp-approximation of linear combination of integral Bernstein type operators, Anal. Numer. Theor. Approx. 13(1) (1984), 65-72.
• [7] A. Zygmund, Trignonetrical Series, Dover Publ. Inc. N.Y., 1995.