Object structure

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2025

Volume:

17

Number:

6

ISSN:

1829-1163

Official URL:


Title:

Exploring New General Integral Lower Bounds Depending on Four Functions

Creator:

Chesneau, Christophe

Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Subject:

Mathematics

Uncontrolled Keywords:

Integrals ; Lower Bounds ; Monotonicity ; Primitive-like Inequality Assumptions

Coverage:

1-14

Abstract:

This article focuses on the determination of appropriate lower bounds for a general term defined as the sum of two specific integrals. This term has the property of depending on four functions, one of which is associated with the two integrals involved. Two theorems are established: one with monotonicity and sign assumptions on the functions considered, and another, more technical, with special primitive-like inequality assumptions on these functions. The connections, advantages and limitations of these assumptions are discussed in detail.

Type:

Electronic journal

Format:

pdf

Identifier:

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General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան