Next Article in Journal
Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives
Previous Article in Journal
Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Open AccessArticle

k-Fractional Estimates of Hermite–Hadamard Type Inequalities Involving k-Appell’s Hypergeometric Functions and Applications

1
Department of Mathematics, Government College University, Faisalabad, Punjab 38000, Pakistan
2
Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
3
Department Scientific-Methodical Sessions, Romanian Mathematical Society-Branch Bucharest, Academy Street no. 14, RO-010014 Bucharest, Romania
*
Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(3), 38; https://doi.org/10.3390/fractalfract3030038
Received: 25 May 2019 / Revised: 27 June 2019 / Accepted: 3 July 2019 / Published: 3 July 2019
The main objective of this paper is to obtain certain new k-fractional estimates of Hermite–Hadamard type inequalities via s-convex functions of Breckner type essentially involving k-Appell’s hypergeometric functions. We also present applications of the obtained results by considering particular examples. View Full-Text
Keywords: convex; s-convex; k-fractional; bounds; Appell’s hypergeometric functions convex; s-convex; k-fractional; bounds; Appell’s hypergeometric functions
MDPI and ACS Style

Awan, M.U.; Noor, M.A.; Mihai, M.V.; Noor, K.I. k-Fractional Estimates of Hermite–Hadamard Type Inequalities Involving k-Appell’s Hypergeometric Functions and Applications. Fractal Fract 2019, 3, 38.

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