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As a weaker form of fuzzy soft r-minimal continuity by Taha (2021), the notions of fuzzy soft almost (respectively (resp. for short) weakly) r-minimal continuous mappings are introduced, and some properties are given. Also, we show that every fuzzy soft r-minimal continuity is fuzzy soft almost (resp. weakly) r-minimal continuity, but the converse need not be true. After that, we introduce a concept of continuity in a very general setting called fuzzy soft r-minimal (A,B, C,D)-continuous mappings and investigate some properties of these mappings. [ABSTRACT FROM AUTHOR]

In this paper, new efficient quadrature rules are established using a newly developed special type of kernel for n-times differentiable mappings, having five steps. Some previous inequalities are also recaptured as special cases of our main inequalities. At the end, efficiency of the newly developed quadrature rules are discussed. [ABSTRACT FROM AUTHOR]

Some new Ostrowski's inequalities for functions whose nth derivatives are quasi-convex are established. [ABSTRACT FROM AUTHOR]

Some new inequalities of Fejér type for twice differentiable mappings are established via quantum calculus on finite intervals. The results presented are extensions of those given earlier. [ABSTRACT FROM AUTHOR]

The authors deduce a differentiable mapping integral identity with two parameters. Using this integral identity, this paper establishes new inequalities of Simpson type for extended ( s, m )-convex functions under certain conditions. This contributes to new better estimates than the earlier results. Finally, these inequalities are applied to special means. [ABSTRACT FROM AUTHOR]

Some new Ostrowski's inequalities for n-times differentiable mappings which are ϕ-convex are established. [ABSTRACT FROM AUTHOR]

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite–Hadamard–Fejér type integral inequality. The results presented here would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]

In this paper, a general integral identity for fractional integrals is derived. Using this identity, we establish some new generelized inequalities of the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. [ABSTRACT FROM AUTHOR]

In this paper, making use of a new identity, we es- tablish new inequalities of Ostrowski type for the class of preinvex functions and gave some midpoint type inequalities. [ABSTRACT FROM AUTHOR]

The author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the qth (q ≥ 1) power are (α, m)-convex. Some applications to special means of positive real numbers are also given. [ABSTRACT FROM AUTHOR]

In this paper, several new inequalities for differentiable and twice differentiable h-convex mapping are established, that are connected with the celebrated Hermite-Hadamard inequalities. Some applications for special means of real numbers are also provided. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we establish two inequalities for differentiable convex mappings and differentiable concave mappings which are connected with Fejér’s inequality holding for convex mappings and concave mappings. Some error estimates for the weighted trapezoidal formula and the weighted midpoint formula are given. [ABSTRACT FROM AUTHOR]

The author obtained new generalizations and refinements of some inequalities based on differentiable s-convex mappings in the second sense. Also, some applications to special means of real numbers are given. [ABSTRACT FROM AUTHOR]

In this paper, we improve and further generalize some Ostrowski-Grüuss type inequalities involving first differentiable functions and apply them to probability density functions, generalized beta random variable and special means. [ABSTRACT FROM AUTHOR]

Abstract: Based on the celebrated Hermite–Hadamard integral inequality for convex functions, some inequalities for differentiable convex and concave mappings are generalized. Furthermore, the results obtained are examined in the context of special means for real numbers. [Copyright &y& Elsevier]

The article investigates some generalized error inequalities for different classes of function and applications. Researchers have presented a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's 3/8, and Lobatto four-point quadrature rule for twice-differentiable mapping. Corresponding optimal quadrature formula was found to present better estimate in the context of four-point quadrature formulae of closed type. The study is carried out by using Peano kernel approach in terms of variety of norms, from an inequality point of view.