Bulletin of the Malaysian Mathematical Sciences Society

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Novel Diamond Alpha Bennett–Leindler Type Dynamic Inequalities and Their Applications
Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 - Trang 1027-1054 - 2022
Zeynep Kayar, Billur Kaymakçalan
For the exponent $$\zeta >1$$ , the diamond alpha Bennett–Leindler type inequalities are established by developing two methods, one of which is based on the convex linear combinations of the related delta and nabla inequalities, while the other one is new and is implemented by using time scale calc...... hiện toàn bộ
Parametrized Littlewood–Paley Operators on Herz-Type Hardy Spaces with Variable Exponent
Bulletin of the Malaysian Mathematical Sciences Society - Tập 43 Số 6 - Trang 4143-4169 - 2020
Xiong Liu, Sibei Yang, Xinxia Wang, Baode Li
Some Appell–Dunkl Sequences
Bulletin of the Malaysian Mathematical Sciences Society - Tập 46 - Trang 1-18 - 2023
Judit Mínguez Ceniceros
Some examples of Appell–Dunkl sequences are shown using determined operators. Specifically, Appell–Dunkl sequences whose generating functions are of the form $$E_{\alpha }(xt)/(1\pm t^m)$$ , where the function $$E_{\alpha }(xt)$$...... hiện toàn bộ
Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential
Bulletin of the Malaysian Mathematical Sciences Society - Tập 45 - Trang 3239-3253 - 2022
Hamdy M. Ahmed, Maria Alessandra Ragusa
In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and nonsmooth analysis, sufficient conditions for nonlocal controllability for the considered problem are established. Finally, an example is given to illustrate th...... hiện toàn bộ
Biharmonic Kirchhoff Type Elliptic Systems with the Singular Exponential Nonlinearities in $$\mathbb {R}^4$$
Bulletin of the Malaysian Mathematical Sciences Society - Tập 47 - Trang 1-32 - 2024
Shengbing Deng, Nina Li, Xingliang Tian
In this paper, we study singular version of Adams–Moser–Trudinger inequality and its sharp concentration-compactness principle on the Cartesian product of second-order Sobolev spaces in $$\mathbb {R}^4$$ . As an application of this inequality, we establish the existence of ground state solutions to...... hiện toàn bộ
Liouville-Type Theorems for 3D Stationary Tropical Climate Model in Mixed Local Morrey Spaces
Bulletin of the Malaysian Mathematical Sciences Society - Tập 46 - Trang 1-17 - 2023
Huiting Ding, Fan Wu
This paper studies the Liouville-type theorems for stationary tropical climate model on the whole space $${\mathbb {R}}^3$$ . We introduce the mixed local Morrey space adapted to tropical climate model and then establish Liouville-type conditions in these spaces, which improve previous ones.
Uncertainty Principle in Terms of Entropy for the Riemann–Liouville Operator
Bulletin of the Malaysian Mathematical Sciences Society - Tập 39 - Trang 457-481 - 2015
Besma Amri, Lakhdar T. Rachdi
We prove Hausdorff–Young inequality for the Fourier transform connected with Riemann–Liouville operator. We use this inequality to establish the uncertainty principle in terms of entropy. Next, we show that we can derive the Heisenberg–Pauli–Weyl inequality for the precedent Fourier transform.
Domination-Related Parameters in Rooted Product Graphs
Bulletin of the Malaysian Mathematical Sciences Society - Tập 39 - Trang 199-217 - 2015
Dorota Kuziak, Magdalena Lemańska, Ismael G. Yero
A set S of vertices of a graph G is a dominating set in G if every vertex outside of S is adjacent to at least one vertex belonging to S. A domination parameter of G is related to those sets of vertices of a graph satisfying some domination property together with other conditions on the vertices of G. Here, we investigate several domination-related parameters in rooted product graphs.
Obstacle Problems for Integro-Differential Operators with Partially Vanishing Kernels
Bulletin of the Malaysian Mathematical Sciences Society - Tập 47 - Trang 1-48 - 2024
Shuai Qi, Lin Tang
In this paper, we study the obstacle problem of some convex operators, which is related to normalized p-Laplacian $$\Delta _p^s$$ . We prove that the graph of the regular free boundary is $$C^{1,\alpha }$$ ...... hiện toàn bộ
Leibniz Algebras Admitting a Multiplicative Basis
Bulletin of the Malaysian Mathematical Sciences Society - Tập 40 - Trang 679-695 - 2017
Antonio J. Calderón Martín
In the literature, many of the descriptions of different classes of Leibniz algebras $$(L, [\cdot , \cdot ])$$ have been made by giving the multiplication table on the elements of a basis ...... hiện toàn bộ
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