The advancements of integral inequalities with the help fractional operators have recently been focus attention in theory inequalities. In this study, we first review some fundamental concepts, and then using \(k\)-conformable integrals, establish a new identity for differentiable functions. Then, considering as an auxiliary result, several Ostrowski-type are presented functions whose modulus d...

In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces. Some results that employ the Ostrowski discrete inequality for vectors in normed linear spaces are also obtained.

Abstract The objective of this article is to incorporate the concept Ostrowski inequality with Atangana–Baleanu fractional integral operator. A novel identity for twice-differentiable functions established after a rigorous investigation several basic definitions and existing ideas related inequalities calculus. Following that, numerous Ostrowski-type are provided based on identity, which uses M...

Using generalized Caputo fractional left and right vectorial Taylor formulae, we establish mixed Ostrowski Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ∥·∥p, 1 ≤p ≤∞.

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, obtained a generalization Ostrowski Besides, derived some new inequalities related to these

In this paper, by introducing a technique of parameter functions, we establish a new Ostrowski type inequality on time scales and unify corresponding continuous and discrete versions. Furthermore, some particular integral inequalities on time scales are given as special cases. Mathematics subject classification (2010): 54C30, 26D10, 26D15.