Some Ostrowski–Grüss type inequalities and applications

Some extended Simpson-type inequalities and applications

‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

Some Grüss Type Inequalities for Riemann-stieltjes Integral and Applications

(m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities

In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than...

Some Nonlinear Inequalities and Applications

Sufficient conditions are given for the relation limt→∞ y(t) = 0 to hold, where y(t) is a continuous nonnegative function on [0,∞) satisfying some nonlinear inequalities. The results are used for a study of large time behavior of the solutions to nonlinear evolution equations. Example of application is given for a solution to some evolution equation with a nonlinear partial differential operator.

Some Nesbitt Type Inequalities with Applications for the Zeta Functions

In this paper, we show some new generalizations of Nesbitt’s inequality. As applications of the generalizations, we obtain the minimum value related to the Riemann zeta function and the Hurwitz zeta function.