In the present paper, we introduce a new type of Bernstein-Durrmeyer operators preserving linear functions in movable interval. The approximation rate for continuous and Voronovskaja?s asymptotic estimate are obtained.

The goal of this study is to create new variations the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities class whose product I-V-Fs. findings described here would be generalizations those found in previous studies. Finally, we obtain Hermite–Hadamard–Fejér with support functions. Some and c...

Abstract Some industrial data often come with uncertainty, which in some cases depends on the decision of those responsible for taking measurement production process. While fuzzy approach helps to tackle ambiguity that arises measurement, an interval type-2 set deals such uncertainty better due its flexibility over control limits chart. This paper aims develop Interval Type-2 Exponentially Weig...