Article
New Variants of Hermite-Hadamard Type Inequalities via Generalized Fractional Operator for Differentiable Functions
Authors
, , and
Abstract
The main motivation of this study is to present new Hermite-Hadamard (HH) type inequalities via a certain fractional operators. We establish two new identities and give new estimations of HH- type inequalities for differentiable and convex mapping via Katugampola-fractional operators. Here, we gave new Lemmas having identities for differentiable functions and construct related inequalities. Main findings of this study would provide elegant connections and general variants of well known results established recently. These results can be extended to different kinds of convex functions as well as pre-invex functions.
Keywords
Convex functions, Hermite-Hadamard inequalities, Katugampola-fractional integrals.
Citation
Nasir, J., Butt, S. I., Dokuyucu, M. A., & Akdemir, A. O. (2022). New variants of hermite-hadamard type inequalities via generalized fractional operator for differentiable functions. Turkish Journal of Science, 7(3), 185–201. https://doi.org/10.66833/TJOS-2022-0018
J. Nasir, S. I. Butt, M. A. Dokuyucu and A. O. Akdemir, “New variants of hermite-hadamard type inequalities via generalized fractional operator for differentiable functions,” Turkish Journal of Science, vol. 7, no. 3, pp. 185–201, 2022, doi: 10.66833/TJOS-2022-0018.
Nasir J, Butt SI, Dokuyucu MA, Akdemir AO. New variants of hermite-hadamard type inequalities via generalized fractional operator for differentiable functions. Turkish Journal of Science. 2022;7(3):185–201. doi:10.66833/TJOS-2022-0018.
Nasir, J., Butt, S. I., Dokuyucu, M. A. and Akdemir, A. O. (2022), ‘New variants of hermite-hadamard type inequalities via generalized fractional operator for differentiable functions’, Turkish Journal of Science, 7(3), pp. 185–201. Available at: https://doi.org/10.66833/TJOS-2022-0018.
Nasir, Jamshed, et al. “New Variants of Hermite-hadamard Type Inequalities via Generalized Fractional Operator for Differentiable Functions.” Turkish Journal of Science, vol. 7, no. 3, 2022, pp. 185–201. https://doi.org/10.66833/TJOS-2022-0018.
Nasir, Jamshed, Saad Ihsan Butt, Mustafa Ali Dokuyucu, and Ahmet Ocak Akdemir. “New Variants of Hermite-hadamard Type Inequalities via Generalized Fractional Operator for Differentiable Functions.” Turkish Journal of Science 7, no. 3 (2022): 185–201. https://doi.org/10.66833/TJOS-2022-0018.
Export citation
Published by: Engineering Journals


