Table of Content
Volume 2, Number 2 (2019)-Table of Contents
Open AccessArticleGeneralized Canavati type g-fractional Iyengar and Ostrowski type
George A. Anastassiou
Annals of Communications in Mathematics 2019,
2 (2),
57-72
DOI: https://doi.org/10.62072/acm.2019.020201
AbstractWe present here generalized Canavati type g-fractional Iyengar and Ostrowski type inequalities. Our inequalities are with respect to all Lp norms: 1 ≤ p ≤ ∞. We finish with applications.
Open AccessArticleA generalization of (∈, ∈ ∨q)-fuzzy ideals in ternary semigroups
G. Muhiuddin*, Noor Rehman and Young Bae Jun
Annals of Communications in Mathematics 2019,
2 (2),
73-83
DOI: https://doi.org/10.62072/acm.2019.020202
ABSTRACT.The notion of \( (\tilde{\alpha}, \tilde{\beta}) \)-fuzzy left (right, lateral) ideal is introduced, and related properties are investigated. Also, characterizations of an \( (\varepsilon, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal are provided. Moreover, relations between \( (\varepsilon, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal and \( (q_0^{\delta}, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal are established.
Open AccessArticleCertain results for the Hermite and Chebyshev polynomials of 2-variables
Waseem A. Khan
Annals of Communications in Mathematics 2019,
2 (2),
84-90
DOI: https://doi.org/10.62072/acm.2019.020203
AbstractIn this paper, we introduce Hermite-Chebyshev polynomials of two variables and to give some properties of Hermite and Chebyshev polynomials of two variables. We derive series representation, operational identities, generating functions and power series method by Hermite, Chebyshev and Hermite-Chebyshev polynomials of two variables. Finally, we consider generalized Hermite-Chebyshev polynomials of two variables and explicit representation of Hermite-Chebyshev polynomials of two variables.
Open AccessArticleSynopsis of the Notions of Multisets and Fuzzy Multisets
P.A. Ejegwa
Annals of Communications in Mathematics 2019,
2 (2),
101-120
DOI: https://doi.org/10.62072/acm.2019.020205
AbstractThis paper is an attempt to summarize the basic concepts of the theories of multiset and fuzzy multiset. We begin by describing multisets and the operations between them with some related results. In the same vein, the basic concepts of fuzzy multiset theory as well as the operations between fuzzy multisets are buttressed in relation to multiset theory. Finally, we present some properties of fuzzy multisets with some related results.
Open AccessArticleIntuitionistic bipolar neutrosophic set and its application to intuitionistic bipolar neutrosophic graphs
Durga Nagarajan, Said Broumi, Satham Hussain* and Young Bae Jun
Annals of Communications in Mathematics 2019,
2 (2),
121-140
DOI: https://doi.org/10.62072/acm.2019.020206
AbstractThis manuscript is devoted to study a new concept of intuitionistic bipolar neutrosophic set with the operations like union, intersection and complement. Also, an application to intuitionistic bipolar neutrosophic graph with examples are developed. Further, we presented the Cartesian product, cross product, lexicographic product and strong product with suitable examples.