The local integro cubic splines and their approximation properties

On local integro quartic splines

“…Recently, some authors have devoted much attention to construct integro splines [1,2,[4][5][6][8][9][10]. Such splines have many practical applications in the fields of mathematical statistics, numerical analysis, electricity, climatology, oceanography, and so on (see [1,2,[4][5][6]9,10]).…”

“…Such splines have many practical applications in the fields of mathematical statistics, numerical analysis, electricity, climatology, oceanography, and so on (see [1,2,[4][5][6]9,10]). In [4], Lang and Xu discussed the integro quartic spline and its approximation properties.…”

“…In this paper, we apply the local approximation approach to this end. It should be mentioned that the local approximation approach [6,9] does not need any additional data, and it is easy to implement not solving any system of linear equations.…”

Quintic B-spline method for integro interpolation

“…(1) Generally, it is called integro interpolation. It has many practical applications in the fields of numerical analysis, mathematical statistics, environmental science, mechanics, electricity, climatology, oceanography and so on, see [1][2][3][4][5][6][7][8].…”

Uniform reconstruction of continuous functions with the RAFU method

“…Delhez [11], F.G. Lang and X.P. Xu [18] and T. Zhanlav and R. Mijiddorj [19]. In these papers it was necessary to suppose that the function f had several derivatives and error estimations were not given in some of them.…”