International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
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ISSN: 2319-7064



Research Paper | Mathematics | India | Volume 4 Issue 5, May 2015

Constrain Control of Trigonometric Rational Quadratic Spline with Shape Parameters Based on Function Values

Mridula Dube, Meenal Priya Singh

The aim of this paper presents an analysis of weighted quadratic trigonometric spline with two shape parameters which interpolate on function value. This interpolating is C1 continuous with quadratic denominator. Constrain control of this rational quadratic trigonometric spline is derived which force it be bound in the given region. Approximation property is discussed.

Keywords: trigonometric spline, shape parameter, interpolation, constrain control, approximation

Edition: Volume 4 Issue 5, May 2015

Pages: 992 - 995


How to Cite this Article?

Mridula Dube, Meenal Priya Singh, "Constrain Control of Trigonometric Rational Quadratic Spline with Shape Parameters Based on Function Values", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=SUB154289, Volume 4 Issue 5, May 2015, 992 - 995

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A major drawback of soft liner materials is their limited durability. The study was carried out with an intent to investigate the durability of silicone soft liner with three commonly used acrylic based denture resin material heat cure, high impact and self cure and relate them to the width of the micro-gap formed at resin base-soft liner interface after accelerated aging procedure. Greater the width of micro-gap formed, greater will be the potential for micro-leakage and microbial colonization, faster will be its de-bonding from the denture base and hence lower will be its durability. The rationale behind this study was to rate the three commonly used forms of acrylic based denture resin materials (heat cure, high impact, self cure) on the basis of their ability to form durable bonds with the silicon soft liner and offer suggestions to the dental clinicians regarding which acrylic based denture resin material should be preferably chosen for complete denture fabrication in cases where a silicone soft liner material is indicated to ensure optimum durability of the prosthesis.