Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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Approximation by genuine Gupta–Srivastava operators
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 113 - Trang 2495-2505 - 2019
In the present paper, we consider new operators, which is defined by Gupta and Srivastava (Eur J Pure Appl Math 11(3):575–579, 2018). They considered a general sequence of positive linear operators and gave the modified form of their previous operators (Neer et al. in Math Comput Model 37:1307–1315, 2003). As these operators preserve linear functions, we call these operators as genuine Gupta–Sriva......
On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequalityAbstract We obtain characterizations of non-negative functions on $$[0,+\infty )$$
[
0
,
+
∞
)
$$f:[0,+\infty )\rightarrow [0,+\infty )$$
f
:
[
0
,
+
∞
)
→
[
0
,
+
∞
)
X , d ), if d satisfies the relaxed polygonal inequality, then so does $$f\circ d$$
f
∘
d
$$c\geqslant 1$$
c
⩾
1
$$g:[0,+\infty ) \rightarrow [0,+\infty )$$
g
:
[
0
,
+
∞
)
→
[
0
,
+
∞
)
$$g^{-1}\left( \{ 0 \} \right) = \{ 0 \}$$ hiện toàn bộ
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 114 Số 3 - 2020
Systems of variational inequalities with hierarchical variational inequality constraints for asymptotically nonexpansive and pseudocontractive mappings
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 113 - Trang 2431-2447 - 2019
The purpose of this paper is to introduce and analyze a hybrid extragradient-like implicit rule for finding a common solution of a general system of variational inequalities (GSVI) and a common fixed point problem (CFPP) of a countable family of uniformly Lipschitzian pseudocontractive mappings and an asymptotically nonexpansive mapping in Hilbert spaces. Here the hybrid extragradient-like implici......
Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 114 - Trang 1-9 - 2020
In the paper, by virtue of the binomial inversion formula, a general formula of higher order derivatives for a ratio of two differentiable function, and other techniques, the authors compute several sums in terms of the beta function and its partial derivatives, polygamma functions, the Gauss hypergeometric function, and a determinant. These results generalize known ones in combinatorics.
Các mặt siêu bậc tối đa hoàn chỉnh trong một số không-gian mở theo kiểu Robertson–Walker tổng quát Dịch bởi AI
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 109 - Trang 451-460 - 2014
Các kết quả về tính độc nhất và không tồn tại của các mặt siêu bậc tối đa nằm giữa hai lớp không gian thời gian trong các không-gian mở theo kiểu Robertson–Walker tổng quát được trình bày. Các kết quả này được nhận được từ một nguyên lý cực đại tổng quát đã biết, áp dụng cho một hàm mượt mà phân biệt trên một mặt siêu bậc tối đa hoàn chỉnh.
On the inequalities of Turán, Bernstein and Erdős–Lax in quaternionic setting
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 115 - Trang 1-20 - 2021
In this paper we study the extensions of the classical inequalities of Bernstein, Erdős–Lax and Turán’s inequalities, from complex polynomials to three kinds of quaternionic polynomials, called by us as follows: quaternionic canonical generalized polynomials (shortly (QCG)-polynomials), quaternionic matrix polynomials (shortly (QM)-polynomials) and quaternionic unilateral polynomials (shortly (QU)......
Singular solutions for fractional parabolic boundary value problems
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 116 - Trang 1-38 - 2022
The standard problem for the classical heat equation posed in a bounded domain
$$\Omega $$
of
$${\mathbb {R}}^n$$
is the initial and boundary value problem. If the Laplace operator is replaced by ......
Hausdorff limits of Rolle leaves
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 107 - Trang 79-89 - 2012
Let
$${\mathcal{R}}$$
be an o-minimal expansion of the real field. We introduce a class of Hausdorff limits, the T
∞-limits over
$${\mathcal{R}}$$
, that do not in general fall under the scope of......
Degrees of irreducible representations of direct products of nonabelian simple groups
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 114 - Trang 1-20 - 2020
For a finite group G, let the character degree set of G, denoted by $$\mathrm{cd}(G)$$, be the set of the degrees of all irreducible complex representations of G. In the present paper, the structure of finite groups whose character degree sets coincide with the character degree sets of direct product of nonabelian simple groups will be studied. For a finite group S and a positive integer n, let $$......
Aspects of the Kahane–Salem–Zygmund inequalities in Banach spaces
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas - Tập 117 - Trang 1-40 - 2022
The main aim of this work is to discuss several different approaches to the celebrated Kahane–Salem–Zygmund inequalities. In particular, we prove estimates for exponential Orlicz norms of averages
$$\sup _{1\le j\le N}\Big |\sum _{i=1}^K a_i(j) \gamma _i\Big |\,,$$
where
......
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