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Abstract. Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented in this paper. The quadratic trigonometric polynomial curve has C 2 continuity, while the quadratic B-spline curve has C 1 continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B-spline curve.

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This paper deals with the second order three-point boundary value problemThe existence and multiplicity of positive solutions are investigated by means of the fixed point theorem in cones.

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