On Kantorovich Process of a Sequence of the Generalized Linear Positive Operators

REFERENCES

• A. Altın and O. Doğru ( 2004 ). Direct and inverse estimations for a generalization of positive linear operators . WSEAS Trans. Math. 3 : 602 – 606 .
   Google Scholar
• A. Aral ( 2003 ). Approximation by Ibragimov–Gadjiev operators in polynomial weighted space . Proc. Inst. Math. Mech. Acad. Sci. Azerb. 19 : 35 – 44 .
   Google Scholar
• A. Aral ( 2005 ). Approximation Properties of Kantorovich extension of Ibragimov–Gadjiev operators . WSEAS Trans. Math. 4 : 474 – 479 .
   Google Scholar
• R. Bojanic and F. Cheng ( 1989 ). Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation . J. Math. Anal. Appl. 141 : 136 – 151 .
   Web of Science ®Google Scholar
• R. Bojanic and F. Cheng ( 1992 ). Rate of convergence of Hermite–Fejér polynomials for functions with derivatives of bounded variation . Acta Math. Hungar. 59 : 91 – 102 .
   Google Scholar
• R. Bojanic and M.K. Khan ( 1991 ). Rate of convergence of some operators of functions with derivatives of bounded variation . Atti Sem. Mat. Fis. Univ. Modena 39 : 495 – 512 .
   Google Scholar
• O. Doğru ( 1997 ). On a certain family of linear positive operators . Tr. J. Math. 21 : 387 – 389 .
   Google Scholar
• A.D. Gadjiev ( 1974 ). The convergence problem for a sequence of positive linear operators on unbounded sets, and theorems analogous to that of P.P. Korovkin . Soviet Math. Dokl. 218 : 1001 – 1004 .
   Google Scholar
• A.D. Gadjiev ( 1976 ). On P.P. Korovkin type theorems . Math. Zametki. 20 : 781 – 786 (in Russian) .
   Web of Science ®Google Scholar
• A.D. Gadjiev and N. Ispir ( 1999 ). On a sequence of linear positive operators in weighted spaces . Proc. Inst. Math. Mech. 11 : 45 – 56 .
   Google Scholar
• A.D. Gadjiev , O.R. Efendiev , and E. Ibikli ( 2003 ). On Korovkin type theorem in the space of locally integrable functions . Czechoslovak Math. J. 53 ( 128 ): 45 – 53 .
   Google Scholar
• A.D. Gadjiev and A. Aral (2007). Weighted Lp-approximation with positive operators on unbounded sets. Appl. Math. Lett. 20:1046–1051.
   Google Scholar
• V. Gupta , V. Vasishtha , and M.K. Gupta ( 2003 ). Rate of convergence of summation-integral type operators with derivatives of bounded variation . J. Inequal. Pure Appl. Math. 4 : 1 – 8 .
   Google Scholar
• V. Gupta , U. Abel , and M. Ivan ( 2005 ). Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation . Int. J. Math. Math. Sci. (IJMMS) 200 : 3827 – 3833 .
   Google Scholar
• I.I. Ibragimov and A.D. Gadjiev ( 1970 ). On a sequence of linear positive operators . Soviet Math. Dokl. 11 : 1092 – 1095 .
   Google Scholar
• P. Pych-Taberska ( 1997 ). Pointwise approximation of absolutely continuous functions by certain linear operators . Funct. Approx. Comment. Math. 25 : 67 – 76 .
   Google Scholar
• P. Radatz and B. Wood ( 1978 ). Approximation derivatives of functions unbounded on the positive axis with linear operators . Rev. Roum. Math. Pures et Appl. Bucarest. 23 : 771 – 781 .
   Google Scholar