广义离散格吕斯及相关结果与应用

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0065

Saad Ihsan Butt, Josip Pečarić, Sanja Tipurić-Spužević

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引用次数: 0

摘要

由于格律斯不等式能有效预测若干正交问题中的界限，因此受到许多学者的关注。在本文中，我们对涉及两个 n 组实数的离散 Čebyšev 和 Grüss 型不等式进行了加权处理，其中界常数是用实数的界序列调动的。作为应用，提供了离散奥斯特洛夫斯基式不等式的估计。最后，通过将所获得的结果与詹森差分相结合，考虑到詹森-格律斯差分，对各种估计进行了形式化。

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Generalized discrete Grüss and related results with applications

Grüss inequality is subject of interest for many authors due to its effectiveness in predicting bounds in several quadrature problems. In the present article, we give weighted treatment of the discrete Čebyšev and Grüss type inequalities pertaining two n-tuples of real numbers in which the bounding constants are mobilised with bounding sequences of real numbers. As an application estimations of discrete Ostrowski type inequalities are provided. Finally, by practicing obtained results along with Jensen’s difference, a wide range of estimations are formalised by considering Jensen-Grüss differences.

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.