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q-beta-Száasz-Stancu operators

V. Gupta|N. K. Govil
장전수학회 (Jangjeon Mathematical Society)|2012.01|Advanced Studies in Contemporary Mathematics|제22권 제1호|pp. 117-123

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참고문헌

키워드

asymptotic formulaq-integersmodulus of continuityBeta-Sz´asz-Stancu type operators
주제분류수학

초록

In this paper we introduce the q analogue of certain Beta-Sz´asz-Stancu operators. We estimate the moments, and establish direct results in terms of modulus of continuity, and an asymptotic formula for the q-operators.

Abstract

In this paper we introduce the q analogue of certain Beta-Sz´asz-Stancu operators. We estimate the moments, and establish direct results in terms of modulus of continuity, and an asymptotic formula for the q-operators.

참고문헌 (15)

  1. A. Aral, "The q-derivative and applications to q-Sz´asz Mirakyan operators", Calcolo, 43(3), pp.151~170 (2006)
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  3. N. K. Govil, "Convergence of q-Meyer-König-Zeller-Durrmeyer operators", Advanced Studies in Contemporary Mathematics, 19(1), pp.97~108 (2009), 장전수학회
  4. V. Gupta, "On discrete q-Beta operators", Ann. Univ. Ferrara, 57, pp.39~66 (2011)
  5. V. Gupta, "Convergence of the q-analogue of Sz´asz-Beta operators", Appl. Math. Comput, 216, pp.374~380 (2010)
  6. V. Gupta, "On the rate of convergence for q-modified Beta operators", J. Math. Anal. Appl, 377, pp.471~480 (2011)
  7. V. Gupta, "Direct results for mixed Beta-Sz´asz type operators", General Mathematics, 13(2), pp.83~94 (2005)
  8. B. Ibrahim, "On Stancu type generalization of q-Baskakov operators", Math. Comput. Modelling, 52, pp.752~759 (2010)
  9. V. G. Kac, "Quantum Calculus, Universitext" (2002), Springer-Verlag
  10. T. Kim, "New approach to q-Euler polynomials of higher order", Russian J. Math. Physics, 17(2), pp.218~225 (2010)
  11. T. H. Koornwinder, "Deformation Theory and Quantum Groups with Applications to MathematicalPhysics, Contemp. Math", pp.134~ (1992)
  12. N. I. Mahmudov, "On q-parametric Sz´asz-Mirakjan operators", Mediterr. J. Math, 7(3), pp.297~311 (2010)
  13. G. M. Phillips, "Bernstein polynomials based on the q-integers", Ann. Numer. Math, 4, pp.511~518 (1997)
  14. C. Radu, "On statistical approximation of a general class of positive linear operators extended in q-calculus", Appl. Math. Comput, 215, pp.2317~2325 (2009)
  15. D. D. Stancu, "Approximation of functions by means of a new generalized Bernstein operator", Calcolo, 20, pp.211~229 (1983)

관련 논문AI추천

Stancu type generalization of modified Gamma operators based on q-integersShu-Ni Chen, Wen-Tao Cheng, Xiao-Ming Zeng대한수학회 · 대한수학회보2017 · 제54권 제2호Convergence of q-Meyer-König-Zeller-Durrmeyer operatorsN. K. Govil, V. Gupta장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제1호A NEW CLASS OF DURRMEYER OPERATORSVijay Gupta장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호On statistical approximation properties of modified q-Bernstein-Schurer OperatorsMei-Ying Ren, Xiao-Ming Zeng대한수학회 · 대한수학회보2013 · 제50권 제4호On the Micchelli combinations of modified beta operatorsDiwaker Sharma, Om Prakash, Prerna Maheshwari장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호ON A SEQUENCE OF KANTOROVICH TYPE OPERATORS VIA RIEMANN TYPE q-INTEGRALAysegul Erencin, Fatma Tasdelen, Gulen Bascanbaz-Tunca대한수학회 · 대한수학회보2014 · 제51권 제2호

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