In this article, we further explore convex functions by revealing new bounds, resulting from stronger convexity behavior. particular, define the so-called radical and study their properties. We will see that such are bounded above curves, rather than straight lines. Applications including discrete continuous Jensen inequalities, subadditivity behavior, Hermite–Hadamard integral inequalities be ...

Many applications in the area of production and statistical estimation are problems of convex optimization subject to ranking constraints that represent a given partial order. This problem – which we call the convex cost closure problem, or (CCC) – is a generalization of the known maximum (or minimum) closure problem and the isotonic regression problem. For a (CCC) problem on n variables and m ...

Convexity performs the appropriate role in theoretical study of inequalities according to nature and behaviour. There is a strong relation between symmetry convexity. In this article, we consider new parameterized quantum fractional integral identity. Following that, our main results are established, which consist some Ostrowski midpoint type pertaining n-polynomial convex functions. From resul...

‎We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps‎. ‎‎W‎e prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous‎. ‎We also study the relationship between approximately mu...

In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of  Hermite-Hadamard inequality for convex functions.