Novel Results based on Generalisation of some Integral Inequalities for Trigonometrically-𝑷 Function

Abstract

Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities. With the help of this lemma, we have obtained many integral inequalities and generalisations for trigonometric P-function. We have shown that it goes down to the studies in special cases which are described in our study. Apart from that, we got new results for the trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.Keywords: Hermite-Hadamard inequality, Simpson-type inequality, Ostrowski-type inequality, Trapezoid-type inequality, Midpoint-type inequality, Trigonometrically-𝑃 function.