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An Operator Version of the Jensen Inequality for s-Convex Functions

Complex Analysis and Operator Theory, 2021
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Ismail Nikoufar, Davuod Saeedi
openaire   +2 more sources

ON GENERALIZED s-CONVEX FUNCTIONS ON FRACTAL SETS

JP Journal of Geometry and Topology, 2015
Summary: In this article, a new class of generalized \(s\)-convex functions in both senses denoted by \(GK^i_{s_1,s_2}\) (\(i=1,2\)) on real linear fractal sets \(\mathbb{R}^\alpha ...
Saleh, Wedad, Kiliçman, Adem
openaire   +1 more source

Hadamard-type inequalities for s-convex functions

Applied Mathematics and Computation, 2007
In this paper we establish some new inequalities for differentiable functions based on concavity and s-convexity. We also prove several Hadamard-type inequalities for products of two convex and s-convex functions.
Ugur S. Kirmaci   +3 more
openaire   +6 more sources

Bernstein--Doetsch type results for $s$-convex functions

Publicationes Mathematicae Debrecen, 2009
In what follows, let \(D\) be a nonempty, open, convex subset of a linear space \(X\); further, let \(H\subset[0,1]\) be a nonempty set and \(s\in]0,1]\). As a generalization of the know concept, the authors introduce the following concept: a function \(f:D\to\mathbb R\) is called \((H,s)\)-convex if, for all \(x,y\in D\) and \(\lambda\in H\), the ...
Burai, Pál   +2 more
openaire   +1 more source

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