A novel analysis of integral inequalities in the frame of fractional calculus

Authors : Bibhakar KODAMASİNGH, Muhammad TARİQ, Jamshed NASİR, Soubhagya SAHOO

Pages : 533-553

Doi:10.31801/cfsuasmas.975700

View : 17 | Download : 8

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :In this paper, we define and explore the new family of exponentially convex functions which are called exponentially s–convex functions. We attain the amazing examples and algebraic properties of this newly introduced function. In addition, we find a novel version of Hermite-Hadamard type inequality in the support of this newly introduced concept via the frame of classical and fractional calculus insert ignore into journalissuearticles values(non-conformable and Riemann-Liouville integrals operator);. Furthermore, we investigate refinement of Hermite-Hadamard type inequality by using exponentially s–convex functions via fractional integral operator. Finally, we elaborate some Ostrowski type inequalities in the frame of fractional calculus. These new results yield us some generalizations of the prior results.
Keywords : Convex functions, s convex functions, Hermite Hadamard inequality, Ostrowski type inequality, exponentially s convex function