• The Pure and Applied Mathematics
• /
• v.28 no.2
• /
• pp.91-102
• /
• 2021

In this paper, we introduce Lie bracket Jordan derivations in Banach Jordan algebras. Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of Lie bracket Jordan derivations in complex Banach Jordan algebras.

• The Pure and Applied Mathematics
• /
• v.29 no.1
• /
• pp.31-35
• /
• 2022

In the note, by virtue of Abel's theorem and Abel's limit theorem in the theory of power series, the author provides three proofs for a sum of an alternating series involving central binomial numbers.

• The Pure and Applied Mathematics
• /
• v.30 no.3
• /
• pp.221-236
• /
• 2023

In this paper, we define the notions of (3, 2)-fuzzy ideal of subtraction semigroup and near subtraction semigroup. Also, we discuss some of its properties with examples.

• Natural Product Sciences
• /
• v.5 no.2
• /
• pp.104-106
• /
• 1999

The chloroform fraction of the aqueous extract of the fresh leaves of Vitex negundo by bioactivity guided isolation yielded a pure compound, rotundial (1) which has shown potent mosquito repellent activity. Using spectral data (UV, IR, $^1H\;&\;^{13}C$ NMR and MS) its structure has been elucidated.

• Journal of Applied and Pure Mathematics
• /
• v.4 no.5_6
• /
• pp.269-286
• /
• 2022

In this article we exhibit univariate and multivariate quantitative approximation by Kantorovich-Choquet type quasi-interpolation neural network operators with respect to supremum norm. This is done with rates using the first univariate and multivariate moduli of continuity. We approximate continuous and bounded functions on ℝ^N , N ∈ ℕ. When they are also uniformly continuous we have pointwise and uniform convergences. Our activation functions are induced by the arctangent, algebraic, Gudermannian and generalized symmetrical sigmoid functions.

• The Pure and Applied Mathematics
• /
• v.30 no.1
• /
• pp.1-13
• /
• 2023

In this paper, we introduce double controlled cone metric spaces via two control functions. An example of a double controlled cone metric space by two incomparable functions, which is not a controlled metric space, is given. We also provide some fixed point results involving Banach type and Kannan type contractions in the setting of double controlled cone metric spaces.

• Journal of applied mathematics & informatics
• /
• v.40 no.3_4
• /
• pp.587-601
• /
• 2022

We find the characterizations of the curvatures of Legendre curves and magnetic curves in Kenmotsu manifolds with C-parallel and C-proper mean curvature vector fields in the tangent and normal bundles. Finally, an illustrative example is presented.

• The Pure and Applied Mathematics
• /
• v.30 no.4
• /
• pp.377-395
• /
• 2023

The purpose of this paper is to consider the abstract theory of hypernear rings. In this regard, we derive the isomorphism theorems for hypernear rings as well as Chinese Remainder theorem. Our results can be considered as a generalization for the cases of Krasner hyperrings, near rings and rings.

• Journal of Applied and Pure Mathematics
• /
• v.5 no.5_6
• /
• pp.407-414
• /
• 2023

In this article we continue the study of smooth Picard singular integral operators that started in [2], see there chapters 10-14. This time the foundation of our research is a trigonometric Taylor's formula. We establish the convergence of our operators to the unit operator with rates via Jackson type inequalities engaging the first modulus of continuity. Of interest here is a residual appearing term. Note that our operators are not positive. Our results are pointwise and uniform.

• Communications of the Korean Mathematical Society
• /
• v.39 no.2
• /
• pp.513-534
• /
• 2024

The main goal of this work is to study an initial boundary value problem relating to the unsteady flow of a rigid, viscoplastic, and incompressible Bingham fluid in an elastic bounded domain of ℝ². By using the approximation sequences of the Faedo-Galerkin method together with the regularization techniques, we obtain the results of the existence and uniqueness of local solutions.