User user521337

22 votes

2 answers

619 views

Does every positive continuous function have a non-negative interpolating polynomial of every degree?

asked Oct 24, 2018 at 22:21

17 votes

2 answers

485 views

On a special type of normed linear spaces

asked Aug 18, 2018 at 21:01

8 votes

1 answer

164 views

On the existence of a particular type of finite measure on $\mathbb N$

asked Dec 22, 2018 at 4:44

7 votes

1 answer

305 views

What's so special about the Orthonormal base $\{e_n\}$ of $L^2[0,1]$, where $e_n(x)=e^{2\pi i nx }$?

asked Dec 16, 2018 at 8:09

6 votes

2 answers

515 views

Given any sequence of interpolating nodes, can we find a continuous function $f$ whose interpolating polynomials doesn't converge to $f$ point-wise

asked Sep 14, 2018 at 0:49

5 votes

0 answers

127 views

On existence of finitely generated projective generator with commutative endomorphism ring in ${}_R Mod$

asked Jan 1, 2019 at 5:22

5 votes

1 answer

540 views

A question on dominant morphism of affine schemes

asked Jan 1, 2019 at 5:41

4 votes

0 answers

114 views

$K$-group of category of bounded chain complexes of Projective modules with finite length homologies

asked Jul 27, 2020 at 9:43

4 votes

1 answer

138 views

Find $p$ s.t. there is a sequence of nodes in $[0,1]$ s.t. sequence of interpolating polynomials of every continuous function converges in $p$-norm

asked Sep 17, 2018 at 0:19

4 votes

1 answer

258 views

For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $\operatorname{depth}(R/P^n)$ eventually constant?

asked Aug 30, 2018 at 23:56

4 votes

1 answer

124 views

On the linear factors of a polynomial obtained from the determinant of a matrix whose entries are related to Binomial expansion

asked Sep 23, 2018 at 22:59

4 votes

2 answers

383 views

Ring of invariants of some special type of subgroups of $GL_3(\mathbb C)$

asked Nov 14, 2018 at 3:42

3 votes

1 answer

217 views

commutative ring satisfying descending chain condition on radical ideals

asked Nov 19, 2018 at 4:04

2 votes

1 answer

157 views

On the continuity and injective-ness of Gauss quadrature scheme for numerical integration, with weight function identically $1$

asked Nov 14, 2018 at 23:53

2 votes

1 answer

171 views

For every table of interpolating nodes, there is a positive continuous function whose interpolating polynomials are not positive infinitely often

asked Oct 27, 2018 at 20:48

2 votes

1 answer

227 views

radical of a certain ideal of sixteen variable polynomial ring, generated by the entries of certain matrices

asked Sep 5, 2018 at 3:14

2 votes

1 answer

178 views

On the functors $\text{Hom}_R(k,-)$ and $k \otimes_R ( -)$ for Artinian local Gorenstein ring $R$

asked Apr 20, 2021 at 1:08

2 votes

1 answer

164 views

On a special type of subring of $\mathbb C[x_0,...,x_{q-1}]$

asked Dec 15, 2018 at 12:33

1 vote

0 answers

109 views

A generalized Cauchy type functional equation

asked Jul 29, 2018 at 2:33

1 vote

0 answers

158 views

Infinite Noetherian ring of dimension $1$ in which distinct non-zero ideals have distinct and finite index

asked Jan 4, 2019 at 13:37

1 vote

1 answer

153 views

Image of smooth curve containing the image of a point as smooth point

asked Jan 17, 2019 at 15:10

1 vote

0 answers

46 views

On different norms of the interpolating operator

asked Sep 17, 2018 at 0:52

1 vote

1 answer

111 views

Decomposing Noetherian hereditary rings of Krull dimension $1$ into product of hereditary domains (i.e. Dedekind domains)

asked Sep 28, 2018 at 2:47

1 vote

1 answer

58 views

Decomposing semihereditary rings

asked Sep 28, 2018 at 4:23

1 vote

2 answers

270 views

Noetherian module, over Noetherian ring, which is isomorphic to its double dual [duplicate]

asked Oct 1, 2018 at 4:12

1 vote

2 answers

222 views

A min-max approximation

asked Oct 1, 2018 at 14:35

1 vote

1 answer

203 views

modules whose every submodule is a homomorphic image

asked Nov 19, 2018 at 4:10

1 vote

0 answers

104 views

On functions obtained from Gaussian Quadrature integration

asked Dec 2, 2018 at 2:40

0 votes

1 answer

240 views

A peculiar operation on $M_2(\mathbb Z)$ which along with the usual matrix addition, makes $M_2(\mathbb Z)$ into a commutative ring with unity [closed]

asked Oct 27, 2018 at 22:06

0 votes

1 answer

163 views

For which $n$, can we find a sequence of $n+1$ distinct points s.t. the interpolating polynomial of every +ve continuous function is itself +ve

asked Oct 26, 2018 at 1:23

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31 Questions

Does every positive continuous function have a non-negative interpolating polynomial of every degree?

On a special type of normed linear spaces

On the existence of a particular type of finite measure on $\mathbb N$

What's so special about the Orthonormal base $\{e_n\}$ of $L^2[0,1]$, where $e_n(x)=e^{2\pi i nx }$?

Given any sequence of interpolating nodes, can we find a continuous function $f$ whose interpolating polynomials doesn't converge to $f$ point-wise

On existence of finitely generated projective generator with commutative endomorphism ring in ${}_R Mod$

A question on dominant morphism of affine schemes

$K$-group of category of bounded chain complexes of Projective modules with finite length homologies

Find $p$ s.t. there is a sequence of nodes in $[0,1]$ s.t. sequence of interpolating polynomials of every continuous function converges in $p$-norm

For every prime ideal $P$ of any Cohen-Macaulay ring $R$, is the sequence $\operatorname{depth}(R/P^n)$ eventually constant?

On the linear factors of a polynomial obtained from the determinant of a matrix whose entries are related to Binomial expansion

Ring of invariants of some special type of subgroups of $GL_3(\mathbb C)$

commutative ring satisfying descending chain condition on radical ideals

On the continuity and injective-ness of Gauss quadrature scheme for numerical integration, with weight function identically $1$

For every table of interpolating nodes, there is a positive continuous function whose interpolating polynomials are not positive infinitely often

radical of a certain ideal of sixteen variable polynomial ring, generated by the entries of certain matrices

On the functors $\text{Hom}_R(k,-)$ and $k \otimes_R ( -)$ for Artinian local Gorenstein ring $R$

On a special type of subring of $\mathbb C[x_0,...,x_{q-1}]$

A generalized Cauchy type functional equation

Infinite Noetherian ring of dimension $1$ in which distinct non-zero ideals have distinct and finite index

Image of smooth curve containing the image of a point as smooth point

On different norms of the interpolating operator

Decomposing Noetherian hereditary rings of Krull dimension $1$ into product of hereditary domains (i.e. Dedekind domains)

Decomposing semihereditary rings

Noetherian module, over Noetherian ring, which is isomorphic to its double dual [duplicate]

A min-max approximation

modules whose every submodule is a homomorphic image

On functions obtained from Gaussian Quadrature integration

A peculiar operation on $M_2(\mathbb Z)$ which along with the usual matrix addition, makes $M_2(\mathbb Z)$ into a commutative ring with unity [closed]

For which $n$, can we find a sequence of $n+1$ distinct points s.t. the interpolating polynomial of every +ve continuous function is itself +ve