Search Results - "Convex and strongly convex functions"
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Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 02.09.2024Published in Journal of inequalities and applications (02.09.2024)“…Strongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and…”
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Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 02.01.2024Published in Journal of inequalities and applications (02.01.2024)“…In this paper we give a necessary and sufficient condition for the discrete Jensen inequality to be satisfied for real (not necessarily nonnegative) weights…”
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New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications
ISSN: 2075-1680, 2075-1680Published: Basel MDPI AG 01.08.2024Published in Axioms (01.08.2024)“…In this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality…”
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