Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
By U. Kırmacı. Applied Mathematics and Computation, 2004
395 citations recorded by the source corpus.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/f3f5449e6964352de2a28feeb6a0bde852332f33
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In Applied Mathematics
- Pshtiwan Othman Mohammed
- Feng Qi (祁锋)
- M. Kunt
- M. Sarıkaya
- Bo-Yan Xi
- Imdat Iscan
- Erhan Set
- Hüseyin Yildirim
Citations in the corpus
- New estimates on generalization of some integral inequalities for s-convex functions and their applications (2012, background): “See [1, 3, 4, 6, 7, 9], the results of the generalization, improvement and extention of the famous integral inequality (1.”
- Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions (2016, background): “4) presented by Kirmaci in [10]; Apparently, the result of inequality (3.”
- Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function (2019, methodology): “To prove the second inequality of (22), we apply the formula”
- Hermite–Hadamard type inequalities for conformable fractional integrals (2017, neutral): “Theorem 2 ([21]) Let f : I◦ ⊆ R → R be a differentiable mapping on I◦ and a, b ∈ I◦ with a < b.”
- Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications (2013, background): “In [4], the above inequalities were further generalized as follows.”
- GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE-HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALS (2015, background): “Some Hermite–Hadamard type inequalities for the fractional integrals are established and these results have some relationship with the obtained results of [11, 12].”
- On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals (2017, methodology): “In [15] in order to prove some inequalities related to Hadamard’s inequality Kırmacı used the following lemma: Lemma 1.”