Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

By using generalized fractional integrals, some Bullen-type inequalities are derived where
the first derivative of considered functions is Lipschitzian, bounded or generalized (s, m) …

In this paper, we prove an equality for twice-differentiable convex functions involving the
conformable fractional integrals. Moreover, several Bullen-type inequalities are established …

By virtue of Yang's fractal sets Rϖ (0< ϖ≤ 1), this paper is devoted to studying a number of
integral inequalities, which are associate with the celebrated Bullen type inequality. To this …

Numerical approximations of definite integrals and related error estimations can be made
using Simpson's rules (inequalities). There are two well-known rules: Simpson's 1 3 rule or …

Boole's type rules are obtained. Some related inequalities of Ostrowski's type are pointed
out. These results are obtained for map**s of bounded variation, Lipschitzian, and …

Despite of the title, the main motivation for writing this book (and the papers from which this
book has grown) was presenting some aspects of generalizations, refinements, variants of …

In this paper we establish some new bounds for the companion of Ostrowski's inequality for
the case when 𝑓ʹ∈ 𝐿¹ [𝑎, 𝑏], 𝑓 ″∈ 𝐿² [𝑎, 𝑏] and 𝑓ʹ∈ 𝐿² [𝑎, 𝑏], respectively. We point …

Numerical approximations of definite integrals and related error estimations can be made
using Simpson's rules (inequalities). There are two well-known rules: Simpson's 1 3 rule or …

The aim of this paper is to derive corrected Bullen-Simpson's 3/8 inequality, starting from
corrected Simpson's 3/8 and corrected Maclaurin's formula. By corrected we mean formulae …