Next Article in Journal
Key Factors Determining the Expected Benefit of Customers When Using Bank Cards: An Analysis on Millennials and Generation Z in Romania
Previous Article in Journal
Evaluation of Speech Quality Through Recognition and Classification of Phonemes
Open AccessArticle

Fractional Integral Inequalities for Strongly h -Preinvex Functions for a kth Order Differentiable Functions

1
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
2
Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia
3
Faculty of Science and Techniques Moulay Ismail University of Meknes, 52000 Errachidia, Morocco
4
Department of Mathematics, Huzhou University, Huzhou 313000, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1448; https://doi.org/10.3390/sym11121448
Received: 16 October 2019 / Revised: 14 November 2019 / Accepted: 19 November 2019 / Published: 25 November 2019
The objective of this paper is to derive Hermite-Hadamard type inequalities for several higher order strongly h -preinvex functions via Riemann-Liouville fractional integrals. These results are the generalizations of the several known classes of preinvex functions. An identity associated with k-times differentiable function has been established involving Riemann-Liouville fractional integral operator. A number of new results can be deduced as consequences for the suitable choices of the parameters h and σ . Our outcomes with these new generalizations have the abilities to be implemented for the evaluation of many mathematical problems related to real world applications. View Full-Text
Keywords: Estimates of upper bound; Riemann-Liouville integral operator; strongly ɧ-preinvex functions; kth-order differentiablity Estimates of upper bound; Riemann-Liouville integral operator; strongly ɧ-preinvex functions; kth-order differentiablity
MDPI and ACS Style

Rashid, S.; Latif, M.A.; Hammouch, Z.; Chu, Y.-M. Fractional Integral Inequalities for Strongly h -Preinvex Functions for a kth Order Differentiable Functions. Symmetry 2019, 11, 1448.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop