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On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Linear positive operators Linear combination Integral modulus of smoothness Steklov means
2010/3/1
In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of ...
Fuzzy chance-constrained programming with linear combination of possibility measure and necessity measure
Possibility Measure mλ-Measure Chance-Constrained Programming
2010/9/14
Based on the possibility measure and necessity measure, mλ-measure is presented and some mathematical properties of mλ-measure are also obtained, including continuity, monotonicity, subadditivity, and...
On linear combination of two classes of triangle summation operators of Bernstein type
triangle summation operator of Bernstein type uniform convergence
2010/9/15
To improve the convergence properties of the Lagrange interpolation operators, Bernstein constructed two classes of operators. Subsequently, many experts generalized these operators, and acquired sign...
On Simultaneous Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Simultaneous approximation Linear positive operators Linear combination Voronovskaja-type asymptotic formula Modulus of continuity
2010/2/26
In [1] we introduced a new sequence of linear positive operators Mn to approximate unbounded continuous functions of exponential growth on [0,\infty). As this sequence is saturated with O(n-1), to acc...