Analytic differenceability of functions
Soodeh
Mehboodi
Zand Institute of Higher Education, Shiraz, Iran.
author
Mohammad
Hooshmand
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
author
text
article
2021
eng
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).
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
1
no.
2021
1
12
http://www.macajournal.com/article_680048_f8dc878765ad98f0ebdf44b27b6ff0a5.pdf
dx.doi.org/10.30495/maca.2021.680048
Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces
John
Rassias
Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.
author
Elumalai
Sathya
Department of Mathematics, Shanmuga Industries Arts and Science College,
Tiruvannamalai - 606 603, TamilNadu, India.
author
Mohan
Arunkumar
Department of Mathematics, Government Arts College,
Tiruvannamalai - 606 603, TamilNadu, India.
author
text
article
2021
eng
In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
1
no.
2021
13
31
http://www.macajournal.com/article_680135_d60cd51f1af4dbd4cd12706d2b3dac94.pdf
dx.doi.org/10.30495/maca.2021.680135
Some results on disjointness preserving Fredholm operators between certain Banach function algebras
Lida
Mousavi
Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran
author
Sedigheh
Hosseini
Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
1
no.
2021
32
39
http://www.macajournal.com/article_681367_92f3f2b3a35ecdaec6c83cde90844811.pdf
dx.doi.org/10.30495/maca.2021.1924698.1002
Weakly principally quasi-Baer rings and generalized triangular matrix rings
Kamal
Paykan
Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
1
no.
2021
39
45
http://www.macajournal.com/article_681125_83625f3e4916f6dc8ea18a5541568207.pdf
dx.doi.org/10.30495/maca.2021.1925653.1004
A proof of the Cauchy--Schwarz inequality from the change of reference frame
Nicola
Fabiano
Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia
author
text
article
2021
eng
Inspired by [1] a proof of the Cauchy--Schwarz inequality is given by considering the transformation between two different inertial reference frames.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
1
no.
2021
46
47
http://www.macajournal.com/article_681376_563a8d584d85c8965f309710199bea4e.pdf
dx.doi.org/10.30495/maca.2021.1927475.1005
Stability of quartic functional equation in paranormed spaces
Karthikeyan
Subramani
Department of Mathematics
R.M.K. Engineering College
Kavarapettai
author
Choonkil
Park
Department of Mathematics, Hanyang University, Republic of Korea
author
John
Rassias
Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.
author
text
article
2021
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
3
v.
1
no.
2021
48
58
http://www.macajournal.com/article_680651_4b4d55ea22b5b3dc10901cdc23cdf79b.pdf
dx.doi.org/10.30495/maca.2021.1924046.1001