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On the preservation of periodic monotonicity
Authors:Stephan Ruscheweyh  Luis C. Salinas
Affiliation:1. Mathematisches Institut, Universit?t Würzburg, W-8700, Würzburg, Germany
2. Departmento de Matemática, Universidad Técnica F. Santa María, Valparaíso, Chile
Abstract:A 2pgr-periodic continuous real functionf is said to beperiodically monotone if it has the following property: there exist numbert1let2let3colonet1+2pgr such thatf is nonincreasing fort1let2 and nondecreasing int2letlet3. For any 2pgr-periodic, integrable real functiong with int02pgr|g(t|dtinfin) we define

$$(f * g)(x): = frac{1}{{2pi }}int_0^{2pi } {f(t)} g(x - t)dt$$
Keywords:  KeywordHeading"  >AMS classification 42A45  42A85
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