NEW GENERALIZATION AND REFINEMENT OF THE DIAMOND-α INTEGRAL CAUCHY–SCHWARTZ INEQUALITY ON TIME SCALES

This paper is concerned with new generalizations and refinements of the diamond-[Formula: see text] integral Cauchy–Schwartz inequality on time scales. The new generalization and refinement of the Cauchy–Schwartz inequality related to diamond integral on time scales are also considered. These obtained inequalities unify continuous inequalities and their corresponding discrete forms associated with Cauchy–Schwartz inequality.

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Publication Details

Journal
Fractals
Published
2024-09-13
DOI
https://doi.org/10.1142/s0218348x24400541
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.97
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article

NEW GENERALIZATION AND REFINEMENT OF THE DIAMOND-α INTEGRAL CAUCHY–SCHWARTZ INEQUALITY ON TIME SCALES

Guang-Sheng Chen, H. S. Tang, WEN TING LUO
1 citations
Fractals
Nonlinear Differential Equations Analysis
0.97
article

NEW GENERALIZATION AND REFINEMENT OF THE DIAMOND-α INTEGRAL CAUCHY–SCHWARTZ INEQUALITY ON TIME SCALES

Guang-Sheng Chen, H. S. Tang, WEN TING LUO
article en
1 citations

Abstract

This paper is concerned with new generalizations and refinements of the diamond-[Formula: see text] integral Cauchy–Schwartz inequality on time scales. The new generalization and refinement of the Cauchy–Schwartz inequality related to diamond integral on time scales are also considered. These obtained inequalities unify continuous inequalities and their corresponding discrete forms associated with Cauchy–Schwartz inequality.

FractalsVol. 33(03)
Jiangxi Science and Technology Normal University (CN)
Reduced inequalities
Openalex Percentile: Top 26%
Nonlinear Differential Equations Analysis
0.97
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