In the paper, we study dynamic h-convexity for interval valued functions. Some generalizations of Jensen’s inequality in analysis h-convex functions on time scales are proved paper. seek applications generalized inequality, Hermite-Hadamard type inequalities established. Further discrete analogues newly results also presented numerical examples provided to check validity results.

Abstract In this research, we introduce the notions of $(p,q)$ ( p , q ) -derivative and integral for interval-valued functions discuss their fundamental properties. After that, prove some new inequalities Hermite–Hadamard type convex employi...

This paper presents some important classes of the continuous functions defined from set real numbers to space complex intervals. These function spaces have an algebraic structure named as a quasilinear which is suggested by Aseev in 1986. In this work, we analysis on and interval-valued functions. Further, show that these are normed Ω-spaces. Finally, examine dimension spaces.

In this paper the interval valued function is defined in the parametric form and its properties are studied. A methodology is developed to study the existence of the solution of a general interval optimization problem, which is expressed in terms of the interval valued functions. The methodology is applied to the interval valued convex quadratic programming problem.

it is well known fact that binary relations are generalized mathematical functions. contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. some basic operations on functions such as the inverse and composition are applicable to binary relations as well. depending on the domain or range or both are fuzzy value fuzzy set, i...