On Some Integral Inequalities for Twice Diferentiable φ - Convex and Quasi - Convex Functions via k - Fractional Integrals
M. Esra Yildirim, Abdullah Akkurt, Hüseyin Yildirim
Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 12 May 2016
10.9734/BJMCS/2016/26309Abstract
In this paper, by using the integral equality which is given in this work, we aim at establishing some new inequalities of the Simpson-like and the Hadamard-like type for functions whose second derivatives are φ-convex and quasi-convex.
References (30)
- 1 Theory and Applications of Fractional Differential Equations [DOI]
- 2 Fractional Integrals and Derivatives, Theory and Applications
- 3 Convex Functions
- 4 ON FRACTIONAL INTEGRALS AND DERIVATIVES [DOI]
- 5 Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
- 6 Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities [DOI]
- 7 Some remarks ons-convex functions [DOI]
- 8 On Minkowski and Hermite-Hadamard integral inequalities via fractional integration [DOI]
- 9 On hypergeometric functions and Pochhammer -symbol.
- 10 On New Inequalities via Riemann‐Liouville Fractional Integration [DOI]
- 11 q,k-Generalized Gamma and Beta Functions [DOI]
- 12 New inequalities of hermite-hadamard type for convex functions with applications [DOI]
- 13 Convex functions [DOI]
- 14 On generalized Grüss type inequalities for k-fractional integrals [DOI]
- 15 Properties and Inequalities of Generalized k-Gamma, Beta and Zeta Functions
- 16 On some new inequalities for convex functions [DOI]
- 17 ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIAFRACTIONAL INTEGRALS [DOI]
- 18 On some integral inequalities for twice differentiable quasi-convex and convex functions via fractional integrals [DOI]
- 19 A Limit for the k-Gamma and k-Beta Function
- 20 On the k-gamma q-distribution [DOI]
- 21 Some Ostrowski’S Type Inequalities For Functions Whose Second Derivatives Are S-Convex In The Second Sense [DOI]
- 22 GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES VIA FRACTIONAL INTEGRALS FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX
- 23 Inequalities of Jensen Type for φ-Convex Functions [DOI]
- 24 Hermite-Hadamard and Simpson Type Inequalities for Differentiable Quasi-Geometrically Convex Functions [DOI]
- 25 NEW ESTIMATES ON GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS AND THEIR APPLICATIONS [DOI]
- 26 Generalization of different type integral inequalities for (\alpha,m)-convex functions via fractional integrals [DOI]
- 27 On hypergeometric functions and Pochhammer $k$-symbol [DOI]
- 28 2 NEW ESTIMATES ON GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR s−CONVEX FUNCTIONS AND THEIR APPLICATIONS [DOI]
- 29 Hermite-Hadamard type inequalities for s-convex and s-concave functions via fractional integrals [DOI]
- 30 On MT-Convexity
Cited by 3
Muhammad Amer Latif, Sever Silvestru Dragomir, Sofian Obeidat · Punjab University Journal of Mathematics · 2021
Showing 1 of 3 known citations — external sources report more than can currently be individually listed.
Article metrics
Real usage data collected on this platform.
6
Page views
0
PDF downloads
1
Outbound clicks
3
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.