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Improvement of fractional Hermite-Hadamard type inequality for convex functions
- Source :
- Miskolc Mathematical Notes. 19:1007
- Publication Year :
- 2018
- Publisher :
- Mathematical Notes, 2018.
-
Abstract
- iscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370 WOS: 000458493700023 In this paper, it is proved that fractional Hermite-Hadamard inequality and fractional Hermite-Hadamard-Fejer inequality are just results of Hermite-Hadamard-Fejer inequality. After this, a new fractional Hermite-Hadamard inequality which is not a result of Hermite-Hadamard-Fejer inequality and better than given in [9] by Sarikaya et al. is obtained. Also, a new equality is proved and some new fractional midpoint type inequalities are given. Our results generalizes the results given in [5] by Kirmaci.
- Subjects :
- convex functions
Numerical Analysis
Pure mathematics
Control and Optimization
Algebra and Number Theory
Hermite polynomials
Hermite-Hadamard inequalities
010102 general mathematics
Mathematics::Classical Analysis and ODEs
Type inequality
01 natural sciences
010101 applied mathematics
midpoint type inequalities
Hadamard transform
Discrete Mathematics and Combinatorics
0101 mathematics
Convex function
Riemann-Liouville fractional integrals
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....09d5807ad0e846a6ede7501a304cd0d4