In this paper we derive weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev type inequalities on time scales. We also give some other interesting inequalities on time scales as special cases.

In this work we propose an improvement to the popular Newton’s method based on the contra-harmonic mean while using quadrature rule derived from a Ostrowski-Gräuss type inequality developed in [19]. The order of convergence of this method for solving non-linear equations which have simple roots is shown to be three. Computer Algebra Systems (CAS), such as MAPLE 18 package, can be used successfu...

In this paper, we define and explore the new family of exponentially convex functions which are called s–convex functions. We attain amazing examples algebraic properties newly introduced function. addition, find a novel version Hermite-Hadamard type inequality in support concept via frame classical fractional calculus (non-conformable Riemann-Liouville integrals operator). Furthermore, investi...

in this paper‎, ‎making use of a new identity‎, ‎we establish new‎ ‎inequalities of ostrowski type for the class of preinvex functions and‎ ‎gave some midpoint type inequalities‎.