The objective of this paper is to estimate the value of∫_(-1)^1〖f(x)/(x-t)^m dx ;m∈N〗 where f is convex from above and ∫_0^δ〖w(f^((m-1) ),x)/x dx<∞; fis bounded in C^((m-1) ) [-1,1].
Read MoreDoi: https://doi.org/10.54216/GJMSA.010201
Vol. 1 Issue. 2 PP. 08-10, (2022)
In this work, we study the extension problem of a group with type C(n)=∑_(i∈I) C_P^∞ by using a cyclic group of order p. Also, we prove the following two results: 1-) The group C(n) has only one extension which is compatible with R_3. 2-) The group C(n) has two extensions which are compatible with R_2.
Read MoreDoi: https://doi.org/10.54216/GJMSA.010202
Vol. 1 Issue. 2 PP. 11-12, (2022)
This paper is dedicated to study some properties of finite groups, where we present the following results: 1) If all centralizers of a group G are cyclic, then G is not simple. 2) If the center of the subgroup A is not trivial and B is cyclic, then G=AB is not simple. On the other hand, we define the m-solvable groups, and we examine some of their elementary properties.
Read MoreDoi: https://doi.org/10.54216/GJMSA.010203
Vol. 1 Issue. 2 PP. 13-16, (2022)
In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.
Read MoreDoi: https://doi.org/10.54216/GJMSA.010204
Vol. 1 Issue. 2 PP. 17-26, (2022)
In this paper, we study the neutrosophic Bernouli and Ricatti differential equations by using one dimensional AH-isometry. Also, we illustrate many examples to clarify the validity of our work.
Read MoreDoi: https://doi.org/10.54216/GJMSA.010205
Vol. 1 Issue. 2 PP. 27-40, (2022)