Exact(2)
First a proper summation-by-parts formula is found for the approximate derivative, A "simultaneous approximation term" is then introduced to treat the boundary conditions.
Later on, Gupta and Noor [15] discussed some direct results in a simultaneous approximation for the operators (1.2).
Similar(58)
The data at the boundary are weakly imposed using a penalty flux approach and a simultaneous-approximation-term penalty technique.
The number is called the Chebyshev radius of w.r.t., and an element is called a best simultaneous approximation of w.r.t.. If, then and is the set of all best approximations,, of from.
To ensure numerical stability and efficiency, finite difference approximations based on the summation-by-parts (SBP) framework are combined with a penalty technique (simultaneous approximation term, SAT) to impose the boundary and interface conditions.
They obtained a quantitative estimate for simultaneous approximation, Voronovskaja-type result and degree of simultaneous approximation in compact disks.
We obtain the order of simultaneous approximation and a Voronovskaja-type result with a quantitative estimate for these complex modified q-Durrmeyer type operators attached to analytic functions on compact disks.
In the present paper, we study an inverse result in simultaneous approximation for Baskakov-Durrmeyer-Stancu type operators.
In this section, first we give some known results and then we estimate an inverse theorem in simultaneous approximation for Baskakov-Durrmeyer-Stancu operators.
The Bishop Phelps Bollobás property deals with simultaneous approximation of an operator T and a vector x at which T nearly attains its norm by an operator T0 and a vector x0, respectively, such that T0 attains its norm at x0.
Simultaneous approximation of a function and its derivatives are required in many science and engineering applications.
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