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Integral inequalities for co-ordinated s–convex functions

AIP Conference Proceedings, 2017
Agri Ibrahim Cecen Univ, IC ...
Ozdemir, M. Emin, AKDEMİR, AHMET OCAK
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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
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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
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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.
KIRMACI, Uğur Selamet   +3 more
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Some inequalities of Hermite-Hadamard type for s-convex functions

Acta Mathematica Scientia, 2011
In this paper several inequalities of the left-hand side of Hermite-Hadamard's inequality are obtained for s-convex functions.
Alomari, Mohammad W.   +2 more
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Some integral inequalities for s-convex functions

2017
In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.
SHUANG, Ye, QI, Feng
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On some characterizations of generalized s-convex functions

Asian-European Journal of Mathematics
Generalized [Formula: see text]-convex functions are a new class of generalized convex functions that have been established in this paper. In a similar sense, a new class of generalized [Formula: see text]-convex sets is introduced as a generalization of [Formula: see text]-convex sets.
Ehtesham Akhter, Musavvir Ali
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