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Differences of Operators of Lupaş Type

Yıl 2018, Cilt: 1 Sayı: 1, 9 - 14, 15.09.2018
https://doi.org/10.33205/cma.452962

Öz

In the present article, we study the approximation of difference of operators and find the quantitative estimates for the difference of Lupaş operators with Lupaş-Szász operators and Lupaş-Kantorovich operators in terms of modulus of continuity. Also, we find the quantitative estimate for the difference of Lupaş-Kantorovich operators and Lupaş-Szász operators.

Kaynakça

  • [1] T. Acar: Asymptotic formulas for generalized Szász-–Mirakyan operators, Appl. Math. Comput. 263 (2015), 233-239.
  • [2] T. Acar, V. Gupta and A. Aral: Rate of convergence for generalized Szász operators, Bull. Math. Sci. 1 (1)(2011), 99–113.
  • [3] R. P. Agarwal and V. Gupta: On q-analogue of a complex summation-integral type operators in compact disks, J. Inequal. Appl. 2012 (1) (2012), Art. 111.
  • [4] A. Aral, V. Gupta and R. P. Agarwal: Applications of q Calculus in Operator Theory, Springer-Verlag, New York, 2013.
  • [5] A. M. Acu and I. Rasa: New estimates for the differences of positive linear operators, Numer. Algorithms 73(2016), 775—789.
  • [6] O. Agratini: On a sequence of linear and positive operators, Facta Univ. (NIS) Ser. Math. Inform. 14 (1999), 41-–48.
  • [7] A. Aral, D. Inoan and I. Rasa: On differences of linear positive operators, Anal. Math. Phys.(2018). DOI https://doi.org/10.1007/s1332
  • [8] M. Bodur, O. G. Yılmaz and A. Aral: Approximation by Baskakov-Szász-Stancu operators preserving exponential functions, Const. Math. Anal. 1 (1) (2018), 1–8.
  • [9] N. Deo: Faster rate of convergence on Srivastava—Gupta operators, Appl. Math. Comput. 218 (21)(2012), 10486–10491.
  • [10] S. G. Gal and V. Gupta: Quantitative estimates for a new complex Durrmeyer operator in compact disks, Appl. Math. Comput. 218 (6) (2011), 2944–2951.
  • [11] V. Gupta: On difference of operators with applications to Szász type operators, communicated.
  • [12] V. Gupta: An estimate on the convergence of Baskakov—Bézier operators, J. Math. Anal. Appl. 312 (1)(2005), 280–288.
  • [13] V. Gupta, Th. M. Rassias and R. Yadav: Approximation by Lupa¸s-Beta integral operators, Appl. Math. Comput. 236 (2014), 19–26.
  • [14] V. Gupta, T. M. Rassias, P. N. Agrawal and A. M. Acu: Recent Advances in Constructive Approximation Theory, Springer Optimization and Its Applications, vol. 138, (2018), Springer, Cham.
  • [15] V. Gupta and R. Yadav: On approximation of certain integral operators, Acta Math. Vietnam. 39 (2)(2014), 193–203.
  • [16] A. Lupaş: The approximation by means of some linear positive operators, In: Approximation Theory (M.W. Müller others, eds), pp. 201—227. Akademie-Verlag, Berlin (1995).
Yıl 2018, Cilt: 1 Sayı: 1, 9 - 14, 15.09.2018
https://doi.org/10.33205/cma.452962

Öz

Kaynakça

  • [1] T. Acar: Asymptotic formulas for generalized Szász-–Mirakyan operators, Appl. Math. Comput. 263 (2015), 233-239.
  • [2] T. Acar, V. Gupta and A. Aral: Rate of convergence for generalized Szász operators, Bull. Math. Sci. 1 (1)(2011), 99–113.
  • [3] R. P. Agarwal and V. Gupta: On q-analogue of a complex summation-integral type operators in compact disks, J. Inequal. Appl. 2012 (1) (2012), Art. 111.
  • [4] A. Aral, V. Gupta and R. P. Agarwal: Applications of q Calculus in Operator Theory, Springer-Verlag, New York, 2013.
  • [5] A. M. Acu and I. Rasa: New estimates for the differences of positive linear operators, Numer. Algorithms 73(2016), 775—789.
  • [6] O. Agratini: On a sequence of linear and positive operators, Facta Univ. (NIS) Ser. Math. Inform. 14 (1999), 41-–48.
  • [7] A. Aral, D. Inoan and I. Rasa: On differences of linear positive operators, Anal. Math. Phys.(2018). DOI https://doi.org/10.1007/s1332
  • [8] M. Bodur, O. G. Yılmaz and A. Aral: Approximation by Baskakov-Szász-Stancu operators preserving exponential functions, Const. Math. Anal. 1 (1) (2018), 1–8.
  • [9] N. Deo: Faster rate of convergence on Srivastava—Gupta operators, Appl. Math. Comput. 218 (21)(2012), 10486–10491.
  • [10] S. G. Gal and V. Gupta: Quantitative estimates for a new complex Durrmeyer operator in compact disks, Appl. Math. Comput. 218 (6) (2011), 2944–2951.
  • [11] V. Gupta: On difference of operators with applications to Szász type operators, communicated.
  • [12] V. Gupta: An estimate on the convergence of Baskakov—Bézier operators, J. Math. Anal. Appl. 312 (1)(2005), 280–288.
  • [13] V. Gupta, Th. M. Rassias and R. Yadav: Approximation by Lupa¸s-Beta integral operators, Appl. Math. Comput. 236 (2014), 19–26.
  • [14] V. Gupta, T. M. Rassias, P. N. Agrawal and A. M. Acu: Recent Advances in Constructive Approximation Theory, Springer Optimization and Its Applications, vol. 138, (2018), Springer, Cham.
  • [15] V. Gupta and R. Yadav: On approximation of certain integral operators, Acta Math. Vietnam. 39 (2)(2014), 193–203.
  • [16] A. Lupaş: The approximation by means of some linear positive operators, In: Approximation Theory (M.W. Müller others, eds), pp. 201—227. Akademie-Verlag, Berlin (1995).
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Vijay Gupta

Yayımlanma Tarihi 15 Eylül 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 1

Kaynak Göster

APA Gupta, V. (2018). Differences of Operators of Lupaş Type. Constructive Mathematical Analysis, 1(1), 9-14. https://doi.org/10.33205/cma.452962
AMA Gupta V. Differences of Operators of Lupaş Type. CMA. Eylül 2018;1(1):9-14. doi:10.33205/cma.452962
Chicago Gupta, Vijay. “Differences of Operators of Lupaş Type”. Constructive Mathematical Analysis 1, sy. 1 (Eylül 2018): 9-14. https://doi.org/10.33205/cma.452962.
EndNote Gupta V (01 Eylül 2018) Differences of Operators of Lupaş Type. Constructive Mathematical Analysis 1 1 9–14.
IEEE V. Gupta, “Differences of Operators of Lupaş Type”, CMA, c. 1, sy. 1, ss. 9–14, 2018, doi: 10.33205/cma.452962.
ISNAD Gupta, Vijay. “Differences of Operators of Lupaş Type”. Constructive Mathematical Analysis 1/1 (Eylül 2018), 9-14. https://doi.org/10.33205/cma.452962.
JAMA Gupta V. Differences of Operators of Lupaş Type. CMA. 2018;1:9–14.
MLA Gupta, Vijay. “Differences of Operators of Lupaş Type”. Constructive Mathematical Analysis, c. 1, sy. 1, 2018, ss. 9-14, doi:10.33205/cma.452962.
Vancouver Gupta V. Differences of Operators of Lupaş Type. CMA. 2018;1(1):9-14.