Full Length Research Paper
Abstract
This paper proposes two special lacunary interpolation problems using quartic splines of continuity class C2. We call the problems (0,3) and (0,4) lacunary interpolation. In these two cases, the third and fourth derivative respectively is also prescribed in between the nodes along with the function value at the nodes. This paper is divided into two parts namely cases A and B. Case A deals with the (0,3) interpolation problem whereas Case B discusses the (0,4) interpolation problem. Special lacunary interpolation problems have been solved using spline functions of continuity class C2.
Key words: Lacunary interpolarion, quartic splines, modulus of continuity.
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