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2019•Numerical Functional Analysis and OptimizationRequires access

New Smoothing Approximations to Piecewise Smooth Functions and Applications

Nurullah Yılmaz, Ahmet Şahiner

Open publisher page 14 citations

Abstract

In this study, we present a new method of smoothing to approximate piecewise smooth functions. First, we give a new definition for piecewise smooth functions. Then, we present new local and global smoothing approximations for both one dimensional and n−dimensional cases. Finally, we apply our smoothing techniques on numerical examples.

About this research paper

What this paper is about

In this study, we present a new method of smoothing to approximate piecewise smooth functions. First, we give a new definition for piecewise smooth functions. Then, we present new local and global smoothing approximations for both one dimensional and n−dimensional cases. Finally, we apply our smoothing techniques on numerical examples.

Why it matters

OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Method / approach

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Available abstract

In this study, we present a new method of smoothing to approximate piecewise smooth functions. First, we give a new definition for piecewise smooth functions. Then, we present new local and global smoothing approximations for both one dimensional and n−dimensional cases. Finally, we apply our smoothing techniques on numerical examples.

Key concepts: Smoothing, Piecewise, Mathematics, Approximations of π, Applied mathematics, Piecewise linear manifold, Piecewise linear function, Mathematical analysis

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