Inequalities for Integer and Fractional Parts
Mihaly Bencze, Florentin Smarandache
TL;DR
This paper introduces 43 new inequalities involving the integer and fractional parts of real numbers, expanding the mathematical understanding of their relationships.
Contribution
The paper provides a comprehensive set of new inequalities for integer and fractional parts, which were not previously documented.
Findings
43 new inequalities established
Enhanced understanding of integer and fractional part relationships
Potential applications in number theory and analysis
Abstract
In this paper we present 43 new inequalities related to integer part and fractional part.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematical Approximation and Integration · Point processes and geometric inequalities