Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems

(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...

Pointwise Remez- and Nikolskii-type Inequalities for Exponential Sums

Let

Some New Hilbert’s Type Inequalities

Some New Iyengar Type Inequalities

Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor formula with integral remainder.

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.