Rate of convergence of a new type Kantorovich variant of Bleimann-Butzer-Hahn operators.
A new method to study analytic inequalities.
Multiplicative concavity of the integral of multiplicatively concave functions.
Exact bounds for some basis functions of approximation operators.
Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1
The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators for the case 0 < α < 1. In the end we propose the q-analogue of MKZK operators....
Pointwise approximation by Meyer-König and Zeller operators
We study the rate of pointwise convergence of Meyer-König and Zeller operators for bounded functions, and get an asymptotically optimal estimate.
Rate of approximation for the Bézier variant of Balazs-Kantorovich operators
King type modification of -Bernstein-Schurer operators
Very recently the -Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve (2003), in this paper we modify -Bernstein-Schurer operators to King type modification of -Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions and study the approximation properties of these operators. We establish a convergence theorem...
Some results on cascade discrete-time systems.
A new method to prove and find analytic inequalities.
The Hermite-Hadamard type inequality of GA-convex functions and its application.
Perron complements of diagonally dominant matrices and H-matrices.
Geometric convexity of a function involving gamma function and applications to inequality theory.
Schur-convexity of two types of one-parameter mean values in variables.
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