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ISSN: 2582-0818

Home 9 acm: Vol.3, No.3, 2020

Volume 3, Number 3 (2020)-Table of Contents

Open AccessArticle

Multivariate right side Caputo fractional Taylor formula and Landau inequalities

Annals of Communications in Mathematics 2020

, 3 (3)

, 185-192

DOI: https://doi.org/10.62072/acm.2020.030301

AbstractHere we present a multivariate right side Caputo fractional Taylor’s formula with fractional integral remainder. Based on this we give three multivariate right side Caputo fractional Landau’s type inequalities. Their constants are precisely calculated and we give best upper bounds.
Open AccessArticle

Prime UP-filter of the third kind in meet-commutative UP-algebras

Annals of Communications in Mathematics 2020

, 3 (3)

, 193-198

DOI: https://doi.org/10.62072/acm.2020.030302

AbstractUP-algebra was introduced by Iampan 2017 as a generalization of KU-algebra. The concept of meet-commutative UP–algebras was introduced by Sawika et al. In such algebras, the notion of prime UP-filter of the first kind and the notion of prime UP-filter of the second kind are introduced. In this article, as a continuation of the previous two, the concept of prime UP–filters of the third kind was introduced and the relationship between these three types of prime UP-filters was discussed.
Open AccessArticle

On m-expansive and m-contractives tuple operators in Hilbert spaces

Annals of Communications in Mathematics 2020

, 3 (3)

, 199-207

DOI: https://doi.org/10.62072/acm.2020.030303

AbstractIn this paper we introduce and studied the concept of joint m-expansive and joint m-contractive tuples of commuting operators of a Hilbert space.
Open AccessArticle

Fuzzy stability results of additive functional equation in different approaches

Annals of Communications in Mathematics 2020

, 3 (3)

, 208-217

DOI: https://doi.org/10.62072/acm.2020.030304

AbstractIn this paper, we investigate some stability results of the following finite dimensional additive functional equation where n is the positive integer with N − {0, 1, 2} and k is the only odd positive integers, in Fuzzy Normed space using direct and fixed point approaches.
Open AccessArticle

Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces

Annals of Communications in Mathematics 2020

, 3 (3)

, 218-231

DOI: https://doi.org/10.62072/acm.2020.030305

AbstractIn this paper we introduce and study fuzzy quasi e (resp. e ∗, a, β, δs and δp)-open sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-closed sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-connectedness between fuzzy sets fuzzy quasi e (resp. e ∗, a, β, δs and δp)–separated sets in fuzzy bitopological spaces.
Open AccessArticle

Approximation on the Stancu variant of Szasz-Kantorovich operators via Dunkl generalization of post quantum calculus

Annals of Communications in Mathematics 2020

, 3 (3)

, 232-241

DOI: https://doi.org/10.62072/acm.2020.030306

AbstractOur main purpose of this article is to study the approximation properties of Szasz-Mirakjan-Kantorovich operators by introducing the non negative parameter ´ 0 5 [α]p,q 5 [β]p,q. For this purpose we define the Stancu variant of Szasz-Mirakjan- ´ Kantorovich operators via (p, q)-variant of Dunkl generalization. First we study the Korovkin’s type approximation results in weighted spaces. Finally, we obtain the convergence of our new operators in by use of modulus of continuity in Lipschitz class and Petter’s Kfunctionals. The extra parameter p provides more flexibility and a generalized version in approximation rather than q.