A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903120210224Analytic differenceability of functions11268004810.30495/maca.2021.680048ENSoodehMehboodiZand Institute of Higher Education, Shiraz, Iran.Mohammad HadiHooshmandDepartment of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.Journal Article20201206Analytic summability of functions was introduced by Hooshmand in 2016. He used Bernoulli numbers and polynomials B<sub>n</sub>(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 E<sub>n</sub>(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<sup><span>∞</span></sup><sub>n=0</sub>c<sub>n</sub>E<sub>n</sub>(z).A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903120210223Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces133168013510.30495/maca.2021.680135ENJohn MichaelRassiasPedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.ElumalaiSathyaDepartment of Mathematics, Shanmuga Industries Arts and Science College,
Tiruvannamalai - 606 603, TamilNadu, India.MohanArunkumarDepartment of Mathematics, Government Arts College,
Tiruvannamalai - 606 603, TamilNadu, India.Journal Article20201124In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903120210429Some results on disjointness preserving Fredholm operators between certain Banach function algebras323968136710.30495/maca.2021.1924698.1002ENLidaMousaviDepartment of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran0000-0002-7067-185XSedighehHosseiniDepartment of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.Journal Article20210227For 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903120210201Weakly principally quasi-Baer rings and generalized triangular matrix rings394568112510.30495/maca.2021.1925653.1004ENKamalPaykanDepartment of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, IranJournal Article20210308A 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903120210301A proof of the Cauchy--Schwarz inequality from the change of reference frame464768137610.30495/maca.2021.1927475.1005ENNicolaFabianoVinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia0000-0003-1645-2071Journal Article20210315Inspired by [1] a proof of the Cauchy--Schwarz inequality is given by considering the transformation between two different inertial reference frames.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903120210201Stability of quartic functional equation in paranormed spaces485868065110.30495/maca.2021.1924046.1001ENKarthikeyanSubramaniDepartment of Mathematics
R.M.K. Engineering College
KavarapettaiChoonkilParkDepartment of Mathematics, Hanyang University, Republic of Korea0000-0001-6329-8228John MichaelRassiasPedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.Journal Article20201220In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.