ORIGINAL_ARTICLE Analytic differenceability of functions 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). http://www.macajournal.com/article_680048_f8dc878765ad98f0ebdf44b27b6ff0a5.pdf 2021-02-24 1 12 10.30495/maca.2021.680048 Bernoulli and Euler polynomials Bernoulli and Euler numbers Analytic summability Soodeh Mehboodi soodehmehboodi@yahoo.com 1 Zand Institute of Higher Education, Shiraz, Iran. AUTHOR Mohammad Hooshmand hadi.hooshmand@gmail.com 2 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces. http://www.macajournal.com/article_680135_d60cd51f1af4dbd4cd12706d2b3dac94.pdf 2021-02-23 13 31 10.30495/maca.2021.680135 Additive functional equations Quadratic functional equations quartic functional equations mixed type functional equations Ulam-Hyers-Rassias stability Fuzzy Banach space John Rassias jrassias@primedu.uoa.gr 1 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 sathya24mathematics@gmail.com 2 Department of Mathematics, Shanmuga Industries Arts and Science College, Tiruvannamalai - 606 603, TamilNadu, India. AUTHOR Mohan Arunkumar drarun4maths@gmail.com 3 Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India. AUTHOR
ORIGINAL_ARTICLE Some results on disjointness preserving Fredholm operators between certain Banach function algebras 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. http://www.macajournal.com/article_681367_92f3f2b3a35ecdaec6c83cde90844811.pdf 2021-04-29 32 39 10.30495/maca.2021.1924698.1002 Disjointness preserving Weighted composition Fredholm Lida Mousavi mousavi.lida@gmail.com 1 Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran LEAD_AUTHOR Sedigheh Hosseini s.hosseini@iauksh.ac.ir 2 Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran. AUTHOR
ORIGINAL_ARTICLE Weakly principally quasi-Baer rings and generalized triangular matrix rings 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. http://www.macajournal.com/article_681125_83625f3e4916f6dc8ea18a5541568207.pdf 2021-02-01 39 45 10.30495/maca.2021.1925653.1004 Generalized triangular matrix ring Annihilator Quasi-Baer Weakly principally quasi-Baer Semicentral idempotent Kamal Paykan k.paykan@gmail.com 1 Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran LEAD_AUTHOR
ORIGINAL_ARTICLE A proof of the Cauchy--Schwarz inequality from the change of reference frame Inspired by  a proof of the Cauchy--Schwarz inequality is given by considering the transformation between two different inertial reference frames. http://www.macajournal.com/article_681376_563a8d584d85c8965f309710199bea4e.pdf 2021-03-01 46 47 10.30495/maca.2021.1927475.1005 Cauchy--Schwarz inequality reference frame Nicola Fabiano nicola.fabiano@gmail.com 1 Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12--14, 11351 Belgrade, Serbia LEAD_AUTHOR
ORIGINAL_ARTICLE Stability of quartic functional equation in paranormed spaces 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. http://www.macajournal.com/article_680651_4b4d55ea22b5b3dc10901cdc23cdf79b.pdf 2021-02-01 48 58 10.30495/maca.2021.1924046.1001 paranormed space quartic functional equation Ulam-Hyers stability fixed point method Karthikeyan Subramani karthik.sma204@yahoo.com 1 Department of Mathematics R.M.K. Engineering College Kavarapettai LEAD_AUTHOR Choonkil Park baak@hanyang.ac.kr 2 Department of Mathematics, Hanyang University, Republic of Korea AUTHOR John Rassias jrassias@primedu.uoa.gr 3 Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece. AUTHOR