Remarks on strongly convex functions
By Nelson Merentes, Kazimierz Nikodem. 2010
196 citations recorded by the source corpus.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/932846c08666c4f3a67db87ecdb62a385cbfd028
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In Applied Mathematics
Citations in the corpus
- On strongly generalized convex functions (2017, background): “For more details, see [12, 13, 16] and for some recent studies on strongly convexity, see [2].”
- ON STRONGLY MIDCONVEX FUNCTIONS (2011, background): “Many properties and applications of them can be found in the literature (see, for instance, [5, 9, 10,13–15,17]).”
- Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity (2013, methodology): “In many areas of analysis applications of Hermite–Hadamard inequality appear for different classes of functions with and without weights; see for convex functions, for example, Dragomir [2], Dragomir and McAndrew [3] and Merentesm and Nikodem [4].”
- On strongly $h$-convex functions (2011, background): “This result generalizes the Hermite–Hadamard-type inequalities obtained in [7] for strongly convex functions, and for c = 0, coincides with the classical Hermite–Hadamard inequalities, as well as the corresponding Hermite–Hadamard-type inequalities for h-convex functions, s-convex functions, Godunov”
- Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity (2019, background): “The following Lemma 2 for strongly convex function is given in [2] (see also [50, Proposition 1.”