Earthline Journal of Mathematical Sciences

A Note on Summability of Infinite Series

Hikmet Seyhan Özarslan, Bağdagül Kartal Erdoğan — Sun, 07 Apr 2024 00:00:00 +0000

The purpose of the present paper is to get the necessary and sufficient conditions for absolute matrix summability of infinite series.

$K^{th}$-order Differential Subordination Results of Analytic Functions in the Complex Plane

Abbas Kareem Wanas, Madan Mohan Soren — Sun, 07 Apr 2024 00:00:00 +0000

In recent years, there have been many interesting usages for differential subordinations of analytic functions in Geometric Function Theory of Complex Analysis. The concept of the first and second-order differential subordination have been pioneered by Miller and Mocanu. In 2011, the third-order differential subordination were defined to give a new generalization to the concept of differential subordination. While the fourth-order differential subordination has been introduced in 2020. In the present article, we introduce new concept that is the K^th-order differential subordination of analytic functions in the open unit disk U.

Fixed Point Theorems in Extended Convex Quasi s-metric Spaces

Qusuay H. Alqifiary — Mon, 08 Apr 2024 00:00:00 +0000

In this work, through the convex structure, we introduce the concept of the extended convex quasi s-metric spaces. In addition, through Mann's iterative technique, we theorize the existence of a unique fixed point for two types of contraction mapping in extended convex quasi s-metric spaces.

A Mathematical Logistic Model Describes Both Global CO2 Emissions and its Accumulation in the Atmosphere

Salvatore Mazzullo — Thu, 11 Apr 2024 00:00:00 +0000

A single kinetic model, of a logistic nature, is able to describe two different phenomena: the global emission of CO₂ due to the combustion of fossil fuels and the observed accumulation of CO₂ in the atmosphere. Unexpectedly, the analysis of the experimental data clearly shows that the two rates of emission and accumulation are almost exactly in phase and differ by a constant factor. The fraction of CO₂ that accumulates in the atmosphere is constantly equal to 65% of the emissions. The same percentage also applies to the rate of change of the two phenomena, i.e., the accelerations.