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Exponents for three-dimensional simultaneous Diophantine approximations
three-dimensional simultaneous Diophantine approximations
2010/11/30
Let = (1, 2, 3) ∈ R3. Suppose that 1, 1, 2, 3 are linearly independent over Z.
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...
