Integral Inequalities Involving Strongly Convex Functions
By Ying-Qing Song, M. Adil Khan, Syed Zaheer Ullah, Y. Chu. Journal of Function Spaces, 2018
58 citations recorded by the source corpus.
We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions. A refinement of companion inequality to Jensen’s inequality established by Matić and Pečarić is shown to be recaptured as a particular instance. Counterpart of the integral Jensen inequality for strongly convex functions is also presented. Furthermore, we present integral Jensen-Steffensen and Slater’s inequality for strongly convex functions.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/aee536611940c54577d11e74f2e66bab42178532
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Inequalities for generalized trigonometric and hyperbolic functions with one parameter (2020, background): “…of mathematics [2, 3, 14, 17, 19, 20, 25, 30, 32, 35, 38, 41, 46, 50, 52, 61, 70, 74, 77, 81, 83, 85, 86, 87, 88], they are closely related to the bivariate means [15, 26, 54, 55, 56, 68, 73, 75, 78] and special functions [1, 7, 12, 13, 21, 22, 27, 28, 36, 51, 57, 58, 59, 60, 62, 65, 69, 72, 82].”
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