Some new integral inequalities for exponential type P-functions
In this paper, by using an identity we obtain some new Hermite-Hadamard type inequalities for functions whose first derivative in absolute value is exponential type P-function by using Hölder and power-mean integral inequalities. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.
Authors
- Huriye Kadakal (ORCID: https://orcid.org/0000-0002-0304-7192)
- Mahir Kadakal (ORCID: https://orcid.org/0000-0002-0240-918X)
- İşcan İmdat
Institutions
- Bayburt University (TR)
- Giresun University (TR)
Publication Details
- Journal
- Annals of the University of Craiova Mathematics and Computer Science Series
- Published
- 2024-12-25
- DOI
- https://doi.org/10.52846/ami.v51i2.1745
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00