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Rate of Convergence in Sobolev Space

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2012

Key Words:

Author NameUniversity of AuthorFaculty of Author

AMS Codes:

Abstract (2. Language): 
In this paper, a new theorem on degree of approximation in L2 p( ) Sobolev space of integrable functions of two variables by Bernstein-Chlodowsky polnomials on an unbounded triangular domain is studied. Also by using the K- functional of Peetre the order of approximation are established.
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  • English

REFERENCES

References: 

[1] A Gadjiev, R Efendiev and E Ibikli, Generalized Bernstein -Chlodowsky Polynomials.
Rocky Mountain Journal of Mathematics, issue 2-3 , 1998.
[2] A Izgi, Order of Approximation of Functions of Two Variable by New Type Gamma Operators.
General Mathematics. Vol.17, No: 1 23-32 (2009).
[3] E Gadjieva and E Ibikli, On Generalization of Bernstein –Chlodowsky polynomials,
Hacettepe Bulletin of Natural Sciences and Engineering Volume 24/p.p.31-40 1995.
[4] E Ibikli and E Gadjieva, The Order of Approximation of Some Un bounded Functions by
the Sequence of Positive Linear Operators, Turkish J.of Math. V19 No.3 1995.
[5] E Ibikli, On approximation of Lp locally integrable functions by the sequences of linear
positive operators. Dokl. Nats. Akad. Nauk Azerb. 59. 2003.
[6] E Ibikli, On approximation for functions of two variables on a triangular domain. Rocky
Mountain J. Math. 35. 1523-1531, 2005.
[7] S Serenbay, E Ibikli and I Büyükyazıcı, Approximation of Functions with Two Variables
in Sobolev Space.Journal of Classical Analysis (is submitted).

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