Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 4
ON GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR MULTIPLICATIVELY P-FUNCTIONS
- Sayfa
- 1023–1035
- DOI
- —
Özet
Abstract.In this paper, by using H ̈older- ̇I ̧scan, H ̈older and power-mean integral in-equality and an general identity for differentiable functions we can obtain new estimateson generalization of Hadamard, Ostrowski and Simpson type inequalities for functionswhose derivatives in absolute value at certain power are multiplicativelyP-functions. Inaddition, It is proved that the result obtained H ̈older- ̇I ̧scan integral inequality is betterthan the result obtained H ̈older integral inequality. Some applications to special meansof real numbers are also given.