<p>The concepts of pseudostarlikeness and pseudoconvexity are introduced for Laplace–Stieltjes integrals. The criteria for pseudostarlikeness and pseudoconvexity are proved and applied to the study of a neighborhood of a function and the convolutions of functions.</p>

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Geometric Properties of Laplace–Stieltjes Integrals

  • M. M. Sheremeta

摘要

The concepts of pseudostarlikeness and pseudoconvexity are introduced for Laplace–Stieltjes integrals. The criteria for pseudostarlikeness and pseudoconvexity are proved and applied to the study of a neighborhood of a function and the convolutions of functions.