2022-05-28T21:06:24Z
http://www.macajournal.com/?_action=export&rf=summon&issue=1135107
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
1
Analytic differenceability of functions
Soodeh
Mehboodi
Mohammad
Hooshmand
Analytic summability of functions was introduced by Hooshmand in 2016. He used Bernoulli numbers and polynomials Bn(z) to define analytic summability and related analytic summand functions. Since the Bernoulli and Euler polynomials have many similarities, so it motivated us to define differenceability and introduce analytic difference function of a complex or real function by utilizing the Euler numbers and polynomials En(z). Also, we prove some criteria for analytic differenceability of analytic functions. Moreover, we observe that the analytic difference function is indeed a series of the Euler polynomials and arrive at some series convergence tests for Euler polynomial series Σ∞n=0cnEn(z).
Bernoulli and Euler polynomials
Bernoulli and Euler numbers
Analytic summability
2021
02
24
1
12
http://www.macajournal.com/article_680048_f8dc878765ad98f0ebdf44b27b6ff0a5.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
1
Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces
John
Rassias
Elumalai
Sathya
Mohan
Arunkumar
In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces.
Additive functional equations
Quadratic functional equations
quartic functional equations
mixed type functional equations
Ulam-Hyers-Rassias stability
Fuzzy Banach space
2021
02
23
13
31
http://www.macajournal.com/article_680135_d60cd51f1af4dbd4cd12706d2b3dac94.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
1
Some results on disjointness preserving Fredholm operators between certain Banach function algebras
Lida
Mousavi
Sedigheh
Hosseini
For two algebras $\A$ and $\B$, a linear map $T : \A \lo \B$ is disjointness preserving if $x \cdot y = 0$ implies $Tx \cdot Ty = 0$ for all $x, y \in \A$ and is said Fredholm if dim(ker($T$)) i.e. the nullity of $T$ and codim($T(E)$) i.e. the corank of $T$ are finite. We develop some results of Fredholm linear disjointness preserving operators from $C_0(X)$ into $C_0(Y)$ for locally compact Hausdorff spaces $X$ and $Y $in \cite{JW28}, into regular Banach function algebras. In particular, we consider weighted composition Fredholm operators as a typical example of disjointness preserving Fredholm operators on certain regular Banach function algebras.
Disjointness preserving
Weighted composition
Fredholm
2021
04
29
32
39
http://www.macajournal.com/article_681367_92f3f2b3a35ecdaec6c83cde90844811.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
1
Weakly principally quasi-Baer rings and generalized triangular matrix rings
Kamal
Paykan
A ring $R$ is called weakly principally quasi-Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is right $s$-unital by right semicentral idempotents. In this paper, we characterize when a generalized triangular matrix ring is a weakly p.q.-Baer ring.
Generalized triangular matrix ring
Annihilator
Quasi-Baer
Weakly principally quasi-Baer
Semicentral idempotent
2021
02
01
39
45
http://www.macajournal.com/article_681125_83625f3e4916f6dc8ea18a5541568207.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
1
A proof of the Cauchy--Schwarz inequality from the change of reference frame
Nicola
Fabiano
Inspired by [1] a proof of the Cauchy--Schwarz inequality is given by considering the transformation between two different inertial reference frames.
Cauchy--Schwarz inequality
reference frame
2021
03
01
46
47
http://www.macajournal.com/article_681376_563a8d584d85c8965f309710199bea4e.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2021
3
1
Stability of quartic functional equation in paranormed spaces
Karthikeyan
Subramani
Choonkil
Park
John
Rassias
In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.
paranormed space
quartic functional equation
Ulam-Hyers stability
fixed point method
2021
02
01
48
58
http://www.macajournal.com/article_680651_4b4d55ea22b5b3dc10901cdc23cdf79b.pdf