Multiplicative tempered fractional Newton-type inequalities for twice *differentiable multiplicatively inverse cosine convex functions with applications
摘要
In this paper, an integral identity is developed using the framework of multiplicative tempered Riemann-Liouville fractional integrals. By utilizing the identity several Newton-type inequalities are established for twice *differentiable multiplicatively inverse cosine convex functions. The appeal of generalized convex functions stems from their applicability to a broader function class than ordinary convex functions. This helps in finding the best possible lower and upper bounds more effectively. In addition, we establish some more refined results via Hölder and power-mean inequalities. The obtained results are verified through graphs. Finally, some applications are given in the context of quadrature formulae.