On the rate of convergence for modified Szász-Mirakyan operators on functions of bounded variation.
Sahai, Ashok, Prasad, Govind (1993)
Publications de l'Institut Mathématique. Nouvelle Série
Radwan Al-Jarrah, Abedallah Rababah (1990)
Revista colombiana de matematicas
Ulrich Abel (1984)
Mathematische Annalen
M.von Golitschek (1982)
Numerische Mathematik
E.L. Roetman (1976)
Journal für die reine und angewandte Mathematik
Ditzian, Z. (2007)
Surveys in Approximation Theory (SAT)[electronic only]
Wolfgang Schwarz (1973)
Journal für die reine und angewandte Mathematik
Gupta, Vijay, Abel, Ulrich, Ivan, Mircea (2005)
International Journal of Mathematics and Mathematical Sciences
Gupta, Vijay, Agrawal, P.N., Karsli, Harun (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Navascués, M.A., Sebastián, M.V. (2006)
Journal of Inequalities and Applications [electronic only]
Pavel Doktor (1989)
Commentationes Mathematicae Universitatis Carolinae
V. I. Bogachev (1990)
Acta Universitatis Carolinae. Mathematica et Physica
Alberto Seeger (1997)
Annales Polonici Mathematici
Given a polyhedral convex function g: ℝⁿ → ℝ ∪ +∞, it is always possible to construct a family which converges pointwise to g and such that each gₜ: ℝⁿ → ℝ is convex and infinitely often differentiable. The construction of such a family involves the concept of cumulant transformation and a standard homogenization procedure.
Giuseppe Geymonat, Peter Oswald (1989)
Banach Center Publications
S. Zhou (1998)
Colloquium Mathematicae
Philip J. Boland (1974)
Journal für die reine und angewandte Mathematik
Philip J. Boland (1974)
Journal für die reine und angewandte Mathematik
Radu Balan (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Nazim Mahmudov (2010)
Open Mathematics
In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.
Lin, Shaobo, Cao, Feilong (2011)
Journal of Inequalities and Applications [electronic only]