2022-05-28T21:06:24Z http://www.macajournal.com/?_action=export&rf=summon&issue=1135107
2021-02-24 10.30495
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
2021-02-23 10.30495
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
2021-04-29 10.30495
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
2021-02-01 10.30495
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
2021-03-01 10.30495
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  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
2021-02-01 10.30495
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