Some new Simpson type integral inequalities for $(s,P)$-functions

Authors

  • M. Kadakal Avrasya University, Pelitli Campus, Trabzon, Türkiye
  • İ. İşcan Giresun University, 28200, Giresun, Türkiye
  • H. Kadakal Bayburt University, Baberti Campus, 69000, Bayburt, Türkiye
https://doi.org/10.15330/cmp.17.1.331-342

Keywords:

$(s,P)$-function, Simpson type inequality, Hermite-Hadamard inequality, Hölder-İşcan inequality
Published online: 2025-06-30

Abstract

In this paper, we establish some new Simpson type inequalities for functions, whose first derivative in absolute value is $(s,P)$-function by using Hölder, power-mean and Hölder-İşcan inequalities. After that, the authors 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 inequality. Also, some applications to special means of real numbers are also given.

Article metrics
How to Cite
(1)
Kadakal, M.; İşcan, İ.; Kadakal, H. Some New Simpson Type Integral Inequalities for $(s,P)$-Functions. Carpathian Math. Publ. 2025, 17, 331-342.