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Some properties of the generalized Bleimann, Butzer and Hahn operators

Year 2015, Volume: 64 Issue: 2, 55 - 62, 01.08.2015
https://doi.org/10.1501/Commua1_0000000733

Abstract

In the present paper, we introduce sequences of Bleimann, Butzerand Hahn operators which are based on a function. This function is a continuously diğerentiable function on R+;such thatgive a Korovkin-type theorem and prove uniform approximation of the generalized Bleimann, Butzer and Hahn operator. We also investigate the monotonicconvergence property of the sequence of the operators under

References

  • Abel, U. and Ivan, M., Some identities for the operator of Bleimann, Butzer and Hahn involving divided diğerences, Calcolo 36, (1999), 143-160.
  • Adell, J.A., de la Cal, J. and San Miguel, M. Inverse Beta and Generalized Bleimann, Butzer and Hahn operators, Journ. Approx. Theory 76, (1994), 54-64
  • Altomare, F., Campiti, M., Korovkin-type approximation theory and its applications. Walter De Gruyter, Berlin, 1994.
  • Aral, A. and Do¼gru, O., Bleimann, Butzer and Hahn Operators on the q Integers, Hindawi Publishing Corporation Journal of Inequalities and Applications 2007, (2007) Article I D 79410.
  • Aral, A., Inoan, D. and Ra¸sa, I., On the generalized Szász-Mirakyan operators. Result in Mathematics 65, (2014), 441-452.
  • Bleimann, G. , Butzer, P. L. and Hahn, L.
  • A Bernstein Type operator approximating continuous functions on the semi-axis. Indag. Math: 42, (1980), 255-262.
  • Cárdenas-Moreles, D. Garrancho, P., Ra¸sa, I., Berstein-type operators which preserve poly- nomials. Compt. Math. Appl. 62, (2011), 158-163.
  • Della Vecchia, B., Some Properties of a Rational Operator of Bernstein-Type, Progr. Approx. Theory (1991), 177-185.
  • Gadjiev, A. D. and Çakar, Ö., On uniform approximation by Bleimann, Butzer and Hahn Op- erators on all positive semiaxis, Transactions of AS Azerbaijan. Series of Physical Technical and Mathematical Sciences 19 (5), (1999), 21-26.
  • Gadjiev A. D., Aral A. The estimates of approximation by using a new type of weighted
  • modulus of continuity, Comp. Math. Appl. 54 (2007), 127-135.
  • Khan, R.A., A note on a Bernstein type operator of Bleimann, Butzer and Hahn, J. Approx. Theory. 53, ( 1988), 295-303.
Year 2015, Volume: 64 Issue: 2, 55 - 62, 01.08.2015
https://doi.org/10.1501/Commua1_0000000733

Abstract

References

  • Abel, U. and Ivan, M., Some identities for the operator of Bleimann, Butzer and Hahn involving divided diğerences, Calcolo 36, (1999), 143-160.
  • Adell, J.A., de la Cal, J. and San Miguel, M. Inverse Beta and Generalized Bleimann, Butzer and Hahn operators, Journ. Approx. Theory 76, (1994), 54-64
  • Altomare, F., Campiti, M., Korovkin-type approximation theory and its applications. Walter De Gruyter, Berlin, 1994.
  • Aral, A. and Do¼gru, O., Bleimann, Butzer and Hahn Operators on the q Integers, Hindawi Publishing Corporation Journal of Inequalities and Applications 2007, (2007) Article I D 79410.
  • Aral, A., Inoan, D. and Ra¸sa, I., On the generalized Szász-Mirakyan operators. Result in Mathematics 65, (2014), 441-452.
  • Bleimann, G. , Butzer, P. L. and Hahn, L.
  • A Bernstein Type operator approximating continuous functions on the semi-axis. Indag. Math: 42, (1980), 255-262.
  • Cárdenas-Moreles, D. Garrancho, P., Ra¸sa, I., Berstein-type operators which preserve poly- nomials. Compt. Math. Appl. 62, (2011), 158-163.
  • Della Vecchia, B., Some Properties of a Rational Operator of Bernstein-Type, Progr. Approx. Theory (1991), 177-185.
  • Gadjiev, A. D. and Çakar, Ö., On uniform approximation by Bleimann, Butzer and Hahn Op- erators on all positive semiaxis, Transactions of AS Azerbaijan. Series of Physical Technical and Mathematical Sciences 19 (5), (1999), 21-26.
  • Gadjiev A. D., Aral A. The estimates of approximation by using a new type of weighted
  • modulus of continuity, Comp. Math. Appl. 54 (2007), 127-135.
  • Khan, R.A., A note on a Bernstein type operator of Bleimann, Butzer and Hahn, J. Approx. Theory. 53, ( 1988), 295-303.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Dilek Söylemez-özden This is me

Publication Date August 1, 2015
Published in Issue Year 2015 Volume: 64 Issue: 2

Cite

APA Söylemez-özden, D. (2015). Some properties of the generalized Bleimann, Butzer and Hahn operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 64(2), 55-62. https://doi.org/10.1501/Commua1_0000000733
AMA Söylemez-özden D. Some properties of the generalized Bleimann, Butzer and Hahn operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2015;64(2):55-62. doi:10.1501/Commua1_0000000733
Chicago Söylemez-özden, Dilek. “Some Properties of the Generalized Bleimann, Butzer and Hahn Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64, no. 2 (August 2015): 55-62. https://doi.org/10.1501/Commua1_0000000733.
EndNote Söylemez-özden D (August 1, 2015) Some properties of the generalized Bleimann, Butzer and Hahn operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64 2 55–62.
IEEE D. Söylemez-özden, “Some properties of the generalized Bleimann, Butzer and Hahn operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 64, no. 2, pp. 55–62, 2015, doi: 10.1501/Commua1_0000000733.
ISNAD Söylemez-özden, Dilek. “Some Properties of the Generalized Bleimann, Butzer and Hahn Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 64/2 (August 2015), 55-62. https://doi.org/10.1501/Commua1_0000000733.
JAMA Söylemez-özden D. Some properties of the generalized Bleimann, Butzer and Hahn operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64:55–62.
MLA Söylemez-özden, Dilek. “Some Properties of the Generalized Bleimann, Butzer and Hahn Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 64, no. 2, 2015, pp. 55-62, doi:10.1501/Commua1_0000000733.
Vancouver Söylemez-özden D. Some properties of the generalized Bleimann, Butzer and Hahn operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2015;64(2):55-62.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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