The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary convergence on 2-norm space....The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary convergence on 2-norm space. We establish some inclusion relations between these spaces under some conditions.展开更多
We shall introduce 1-type Lipschitz multifunctions from R into generalized 2-normed spaces, and give some results about their 1-type Lipschitz selections.
We introduce the definition of non-Archimedean 2-fuzzy 2-normed spaces and the concept of isometry which is appropriate to represent the notion of area preserving mapping in the spaces above. And then we can get isome...We introduce the definition of non-Archimedean 2-fuzzy 2-normed spaces and the concept of isometry which is appropriate to represent the notion of area preserving mapping in the spaces above. And then we can get isometry when a mapping satisfies AOPP and (*) (in article) by applying the Benz’s theorem about the Aleksandrov problem in non-Archimedean 2-fuzzy 2-normed spaces.展开更多
The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2-norm...The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2-normed spaces to be statistically Cauchy sequence in 2-normed spaces.展开更多
The purpose of this paper is to define the notions of convergence, Cauchy st–convergence, st–Cauchy, I –convergence and I –Cauchy for double sequences in 2–fuzzy n–normed spaces with respect to α–n–norms and ...The purpose of this paper is to define the notions of convergence, Cauchy st–convergence, st–Cauchy, I –convergence and I –Cauchy for double sequences in 2–fuzzy n–normed spaces with respect to α–n–norms and study certain classical and standard properties related to these notions.展开更多
目的应用沿血管周围间隙的扩散张量图像分析技术(DTI-ALPS)检测新诊断2型糖尿病(T2DM)患者脑胶质淋巴系统功能,探讨其与胰岛素抵抗指数(HOMA-IR)的相关性。方法选取徐州医科大学附属医院2023年4~6月临床确诊的新诊断的T2DM患者30例作为...目的应用沿血管周围间隙的扩散张量图像分析技术(DTI-ALPS)检测新诊断2型糖尿病(T2DM)患者脑胶质淋巴系统功能,探讨其与胰岛素抵抗指数(HOMA-IR)的相关性。方法选取徐州医科大学附属医院2023年4~6月临床确诊的新诊断的T2DM患者30例作为新诊断T2DM组,同时选取本院体检的与新诊断T2DM组年龄、性别相匹配的健康人30例为对照组。收集受试者临床检验指标(糖化血红蛋白、空腹血糖、空腹胰岛素水平),选取稳态模型作为评估胰岛素抵抗的指数,计算得出胰岛素抵抗HOMA-IR指数。采用3.0T核磁共振对60例受试者进行扫描,利用DTI计算ALPS指数,比较两组间的差异。采用Pearson相关性分析新诊断T2DM组HOMA-IR与ALPS指数之间的相关性。结果新诊断T2DM组空腹血糖、空腹胰岛素、糖化血红蛋白、HOMA-IR高于正常对照组(P<0.05)。新诊断T2DM组ALPS指数下降(1.50±0.22 vs 1.31±0.18,P<0.001),与HOMA-IR呈负相关(r=-0.622,P<0.001)。结论DTI-ALPS技术可用于评估新诊断T2DM患者的胶质淋巴系统功能,其功能的下降与胰岛素抵抗密切相关。展开更多
文摘The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary convergence on 2-norm space. We establish some inclusion relations between these spaces under some conditions.
文摘We shall introduce 1-type Lipschitz multifunctions from R into generalized 2-normed spaces, and give some results about their 1-type Lipschitz selections.
文摘We introduce the definition of non-Archimedean 2-fuzzy 2-normed spaces and the concept of isometry which is appropriate to represent the notion of area preserving mapping in the spaces above. And then we can get isometry when a mapping satisfies AOPP and (*) (in article) by applying the Benz’s theorem about the Aleksandrov problem in non-Archimedean 2-fuzzy 2-normed spaces.
文摘The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2-normed spaces to be statistically Cauchy sequence in 2-normed spaces.
文摘The purpose of this paper is to define the notions of convergence, Cauchy st–convergence, st–Cauchy, I –convergence and I –Cauchy for double sequences in 2–fuzzy n–normed spaces with respect to α–n–norms and study certain classical and standard properties related to these notions.
文摘目的应用沿血管周围间隙的扩散张量图像分析技术(DTI-ALPS)检测新诊断2型糖尿病(T2DM)患者脑胶质淋巴系统功能,探讨其与胰岛素抵抗指数(HOMA-IR)的相关性。方法选取徐州医科大学附属医院2023年4~6月临床确诊的新诊断的T2DM患者30例作为新诊断T2DM组,同时选取本院体检的与新诊断T2DM组年龄、性别相匹配的健康人30例为对照组。收集受试者临床检验指标(糖化血红蛋白、空腹血糖、空腹胰岛素水平),选取稳态模型作为评估胰岛素抵抗的指数,计算得出胰岛素抵抗HOMA-IR指数。采用3.0T核磁共振对60例受试者进行扫描,利用DTI计算ALPS指数,比较两组间的差异。采用Pearson相关性分析新诊断T2DM组HOMA-IR与ALPS指数之间的相关性。结果新诊断T2DM组空腹血糖、空腹胰岛素、糖化血红蛋白、HOMA-IR高于正常对照组(P<0.05)。新诊断T2DM组ALPS指数下降(1.50±0.22 vs 1.31±0.18,P<0.001),与HOMA-IR呈负相关(r=-0.622,P<0.001)。结论DTI-ALPS技术可用于评估新诊断T2DM患者的胶质淋巴系统功能,其功能的下降与胰岛素抵抗密切相关。