Alternative proof of a monotonicity property of a certain function
Alternative proof of a monotonicity property of a certain function

Kwara Nantomah

Volume 5, Issue 1 , March 2023, , Pages 65-68

https://doi.org/10.30495/maca.2023.1987128.1067

Abstract
  By using L'Hospital's rule for monotonicity, we provide an alternative proof of a monotonicity property of a certain function involving the exponential function. This new approach is ...  Read More
Biflatness of Banach algebras modulo an ideal
Biflatness of Banach algebras modulo an ideal

Mohammad Ali Abolfathi; Oluwatosin Temitope Mewomo

Volume 3, Issue 2 , June 2021, , Pages 68-74

https://doi.org/10.30495/maca.2021.1932071.1013

Abstract
  Biflatness of Banach algebras is one of the important topics in the study of cohomological properties of Banach algebras. This concept has a close relationship with the amenability ...  Read More
Solving conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions
Solving conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions

Arslan Hojat Ansari; Snjezana Maksimovic

Volume 5, Issue 1 , March 2023, , Pages 69-84

https://doi.org/10.30495/maca.2023.1988807.1070

Abstract
  The objective of this paper is to solve conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions introduced in [13]. Also, the connection ...  Read More
Boundedness of some operators on variable exponent Fofana's spaces and their preduals
Boundedness of some operators on variable exponent Fofana's spaces and their preduals

Nouffou Diarra

Volume 5, Issue 3 , September 2023, , Pages 69-90

https://doi.org/10.30495/maca.2023.2006788.1080

Abstract
   Let $ 1 \leq p\leq \alpha \leq  q \leq \infty$.  The  Fofana's spaces $\left(L^{p},\ell^{q}\right)^{\alpha}(\mathbb{R}^d)$  were introduced in 1988 by Fofana ...  Read More
On algebraic bounds for exponential function with applications
On algebraic bounds for exponential function with applications

Yogesh J. Bagul; Christophe Chesneau; Ramkrishna M. Dhaigude

Volume 5, Issue 1 , March 2023, , Pages 85-93

https://doi.org/10.30495/maca.2023.1987625.1068

Abstract
  In this paper, we establish algebraic bounds of the ratio type in nature for the natural exponential function $e^x$ involving two parameters, a and n, which become optimal as a tends ...  Read More
Characterization of semi-continuity in $L^{p}$-spaces
Characterization of semi-continuity in $L^{p}$-spaces

Samwel Asamba; Benard Okelo; Robert Obogi; Priscah Omoke

Volume 5, Issue 3 , September 2023, , Pages 91-100

https://doi.org/10.30495/maca.2023.2006888.1081

Abstract
  Upper and lower semi-continuous functions are important in many areas and play a key role in optimization theory. This paper characterizes the lower and upper semi-continuity of $L^{p}$-space ...  Read More
Fixed Point Theorems In Intuitionistic Fuzzy 2 - Metric Spaces
Fixed Point Theorems In Intuitionistic Fuzzy 2 - Metric Spaces

Jeyaraman Mathuraiveeran

Articles in Press, Accepted Manuscript, Available Online from 05 December 2023

https://doi.org/10.30495/maca.2023.2003807.1077

Abstract
  In the paper, we find some fixed point theorem in intuitionistic fuzzy 2-metric spaces on four mappings and six mappings with the help of the theory of sub-compatibility of type (A).  Read More
Some Analytical Properties of the Hyperbolic Sine Integral
Some Analytical Properties of the Hyperbolic Sine Integral

Kwara Nantomah

Articles in Press, Accepted Manuscript, Available Online from 28 February 2024

https://doi.org/10.30495/maca.2024.2014798.1090

Abstract
  By using some tools of analysis, we establish some analytical properties such as monotonicity and inequalities involving the hyperbolic sine integral function. As applications of some ...  Read More
Optimizing airfoil efficiency for offshore turbines through aerodynamic geometry enhancement
Optimizing airfoil efficiency for offshore turbines through aerodynamic geometry enhancement

Hossein Seifi Davari; Harun Chowdhury; Mohsen Seify Davari; Hasan Hosseinzadeh

Articles in Press, Accepted Manuscript, Available Online from 28 February 2024

https://doi.org/10.30495/maca.2024.2017221.1092

Abstract
  Initially, the optimal Thickness-to-Camber ratio (t/c) of the SG6043 airfoil was examined across Reynolds numbers (Re) ranging from 10,000 to 500,000, typical for Small Wind Turbines ...  Read More
Some inequalities of the Edmundson-Lah-Ribarič type for 3-convex functions with applications
Some inequalities of the Edmundson-Lah-Ribarič type for 3-convex functions with applications

Rozarija Mikić; Josip Pečarić; Đilda Pečarić

Articles in Press, Accepted Manuscript, Available Online from 12 March 2024

https://doi.org/10.30495/maca.2024.2017279.1093

Abstract
  In this paper, we study 3-convex functions, which are characterized by the third-order divided differences, and for them, we derive a class of inequalities of the Jensen and Edmundson-Lah-Ribarič ...  Read More
Stability of two multi-quadratic mappings by a fixed point method
Stability of two multi-quadratic mappings by a fixed point method

Maryam Mazdarani

Articles in Press, Accepted Manuscript, Available Online from 12 March 2024

https://doi.org/10.30495/maca.2024.2022801.1097

Abstract
  In this paper, the Gavruta stability of two multi-quadratic functional equations is established by a known fixed point theorem. As an example, the Hyers-Ulam, and Rassias stability ...  Read More
Jafari variation iteration method for solving one-dimensional fractional diffusion equation
Jafari variation iteration method for solving one-dimensional fractional diffusion equation

Abubker Ahmed

Articles in Press, Accepted Manuscript, Available Online from 06 April 2024

https://doi.org/10.30495/maca.2024.2019452.1096

Abstract
  H. Jafari proposed a new integral transform recently, namely, the Jafari transform, which covered all classes of integral transforms in the class of Laplace transform, such as Laplace, ...  Read More