Some new two-sided inequalities concerning the Fourier transform

Some inequalities concerning Smarandache's function

The objectives of this article are to study the sum IS(d) and to find some upper din bounds for Smarandache's function. This sum is proved to satisfy the inequality IS(d) ~ n at most all the composite numbers, Using this inequality, some new din upper bounds for Smarandache's function are found. These bounds improve the well-known inequality Sen) ~ n.

extensions of some polynomial inequalities to the polar derivative

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Two New Convolutions for the Fractional Fourier Transform

In this paper we introduce two novel convolutions for the fractional Fourier transforms (FRFT), and prove natural algebraic properties of the corresponding multiplications such as commutativity, associativity and distributivity, which may be useful in signal processing and other types of applications. We analyze a consequent comparison with other known convolutions, and establish a necessary an...

On Some Inequalities Concerning π(x)

Some Inequalities Concerning Cross-Intersecting Families

Combinatorics, Probability and Computing / Volume 7 / Issue 03 / September 1998, pp 247 260 DOI: null, Published online: 08 September 2000 Link to this article: http://journals.cambridge.org/abstract_S0963548398003575 How to cite this article: P. FRANKL and N. TOKUSHIGE (1998). Some Inequalities Concerning Cross-Intersecting Families. Combinatorics, Probability and Computing, 7, pp 247-260 Requ...