New estimates on generalization of some integral inequalities for s-convex functions and their applications
By Imdat Iscan. 2012
55 citations recorded by the source corpus.
In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are s-convex (in the second sense). Some applications to special means of real numbers are also given.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/3e6950f2b665ef50dddd405edaf4456f343b8194
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In Applied Mathematics
Citations in the corpus
- Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals (2017, methodology): “(1) If one takes p 1⁄4 1, one has İşcan (2015), Theorem 2.8. (2) If one takes p 1⁄4 1, a 1⁄4 1 and w x ð Þ 1⁄4 1, one has Pearce and Pecaric (2000), Theorem 1. (3) If one takes p 1⁄4 1 and w x ð Þ 1⁄4 1, one has İşcan and Wu (2014), Theorem 5. (4) If one takes p 1⁄4 1, a 1⁄4 1 and w x ð Þ 1⁄4 1, one”
- Generalization of different type integral inequalities for s-convex functions via fractional integrals (2013, methodology): “In [9], Iscan obtained inequalities for differentiable convex mapping which are connected Simpson’s inequality, and he used the following lemma to prove this Lemma 1.”