Abstract:In this paper, we establish some inequalities for power series with real coefficients by utilizing Young's inequality for sequences of complex numbers. Some applications for special functions such as polylogarithm, hypergeometric and Bessel functions are also presented. MSC: 26D15
“…For other recent results for power series with nonnegative coefficients, see [9] and [10]. For more results on power series inequalities, see [2] and [5]- [8].…”
ABSTRACT. Some inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality obtained by Dragomir and Ionescu in 1994 are given. Applications for some fundamental functions defined by power series are also provided.
“…For other recent results for power series with nonnegative coefficients, see [9] and [10]. For more results on power series inequalities, see [2] and [5]- [8].…”
ABSTRACT. Some inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality obtained by Dragomir and Ionescu in 1994 are given. Applications for some fundamental functions defined by power series are also provided.
“…For some similar exponential and logarithmic inequalities see [5]. For other recent results for power series with nonnegative coefficients, see [2], [7], [11] and [12]. For more results on power series inequalities, see [2] and [7]- [10].…”
Some inequalities for power series with nonnegative coefficients via a new reverse of Jensen inequality are given. Applications for some fundamental functions defined by power series are also provided.
“…For example, in [9], Ibrahim and Dragomir established inequalities by utilizing power series and Young's inequality. In [10], Kouba used classical analysis to obtain some new inequalities.…”
In this paper, we establish some new inequalities for power means with n positive numbers. Moreover, some new properties of p → M n (a, p) are obtained, where M n (a, p) denotes the p-th power mean of first n entry of vector a.
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