A. Goswami

activity

20192025

most citedOn approximately monotone and approximately Hölder functions

3 citations · 3 across the 10 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.GM2023

Hermite-Hadamard type inequalities by using Newton-Cotes quadrature formulas

Angshuman R. Goswami, Ferenc Hartung

A convex function $f : [a, b] \to R$ satisfies the so-called Hermite-Hadamard inequality $$ f\left(\frac{a+b}{2}\right)\leq \frac{1}{b-a}\int_a^{b}f(t)dt\leq \frac{f(a)+f(b)}{2…

math.GM2023

Generalization of Subadditive, Monotone and Convex Functions

Angshuman R. Goswami

Let $I \subseteq R_{+}$ be a non empty and non singleton interval where $R_{+}$ denotes the set of all non negative numbers. A function $Φ : I \to R_{+}$ is…

math.GM2023

Generalizing the Concept of Bounded Variation

Angshuman R. Goswami

Let $[a, b] \subset R$ be a non empty and non singleton closed interval and $P = {a = x_{0} < \dots < x_{n} = b}$ is a partition of it. Then $f : I \to R$ is said to be a function…