On the generalized modulus |
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Authors: | Xiaohui Zhang |
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Institution: | 1.School of Science,Zhejiang Sci-Tech University,Hangzhou,China |
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Abstract: | The generalized modulus has numerous applications in geometric function theory and analytic number theory. In this paper, we study the monotonicity and convexity of the generalized modulus and obtain sharp functional inequalities for this function. Our results are the extensions of some well-known inequalities of the modulus of the Grötzsch ring. |
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