International Journal of Mathematics And its Applications

Bernoulli Numbers and the Exact Values of Riemann Zeta Function at Positive Even Integers

Philip Wagala Gwanyama — Thu, 08 Feb 2024 00:00:00 +0000

In this note we present a self-contained discussion of the Bernoulli numbers and apply the Summation Theorem to show an alternative method to verifying the identity for Riemann zeta function at positive even integers.

Analytical Study of the Generalization Hurwitz - Lerch Zeta Function of Two Variables Using Beta Function

Archna Jaiswal, S. K. Raizada — Mon, 12 Feb 2024 00:00:00 +0000

Firstly, the Generalized Hurwitz-Lerch Zeta Function of two variables is defined using Beta Function. Then several integral representations and summation formula are investigated for this function. The function that we have introduced here has also been represented in term of generalised Hypergeometric Function ${}_{p}F_{q}$. To strengthen our main results, we have also considered some important special cases.

Study of Some Inequalities and Applications on 2-norms and Derived Norms

Pradeep Kumar Singh — Mon, 12 Feb 2024 00:00:00 +0000

Most of the results on the space of 2-norms generalised to n-normed space. Here, we investigate some results on the nature of sequences of 2-norms and derived norms. But unable to generalise it for n-norms. Therefore we are taking particular case of n-norms. In this paper, we investigated Minkowski type inequalities for 2-norms, and applied these inequalities in the analysis of convergence of sequences of 2-norms, derived norms with respect to sequence of vectors.

Common Fixed Points on Multiplicative b-metric Spaces for Weakly Commuting Mappings

Rohit Kumar Verma, Prachi Singh, Kuleshwari — Mon, 12 Feb 2024 00:00:00 +0000

In this paper, we introduce the notion of multiplicative b-metric space. We will prove a common fixed point theorem for multiplicative b-metric space. Our results improve and generalize the results of X [3].

L-valued Intuitionistic L-fuzzy Generalised Lattices of the Type 3

Parimi Radhakrishna Kishore, Sisay Tadesse Taye — Wed, 14 Feb 2024 00:00:00 +0000

This article deals with the concept of L-valued intuitionistic L-fuzzy subgeneralised lattice of the type 3 (IFsubgl of type 3) of a generalised lattice. Introduced the concepts L-valued intuitionistic L-fuzzy subgeneralised lattice of the type 3 (IFsubgl of type 3), L-valued intuitionistic L-fuzzy ideal of the type 3 (IFideal of type 3), L-valued intuitionistic L-fuzzy filter of the type 3 (IFfilter of type 3), L-valued intuitionistic L-fuzzy prime ideal of the type 3 (IF prime ideal of type 3), L-valued intuitionistic L-fuzzy prime filter of the type 3 (IF prime filter of type 3) and L-valued intuitionistic L-fuzzy convex subgeneralised lattice of the type 3 (IF convex subgl of type 3) of a generalised lattice. Characterized them by their $(\alpha, \beta)-$level subsets, discussed some equivalent conditions and their intersections.

Delta Geometric-Arithmetic and Delta Arithmetic-Geometric Indices of Certain Nanotubes and Networks

V. R. Kulli — Mon, 26 Feb 2024 00:00:00 +0000

In this study, we introduce the delta geometric-arithmetic index and the delta arithmetic-geometric index and their corresponding polynomials of a graph. Furthermore we present the computational formulas for calculating the delta geometric-arithmetic index and the delta arithmetic-geometric index and corresponding their polynomials of two families of nanotubes and two families of networks.

The Existence of Fixed Points for $\gamma$-$FG$-contractive Condition via Cyclic $(\alpha,\beta)$-admissible Mappings in $b$-metric Like Spaces

Sudip Kumar, G. V. V. Jagannadha Rao, P. Sudheer Kumar — Thu, 07 Mar 2024 00:00:00 +0000

This paper extends and generalizes the results of paper Padhan [14]. We show various fixed point theorems for such mappings in a complete $b$-metric like space, and propose the novel ideas of cyclic $(\alpha,\beta)$-admissible mapping utilising $\gamma$-$FG$-contractive mapping. Adequate illustrations are provided to validate the findings, along with the implications of the primary findings.