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    STUDIA MATHEMATICA - Issue no. 3 / 2023  
         
  Article:   AN EXTENSION OF WIRTINGER’S INEQUALITY TO THE COMPLEX INTEGRAL.

Authors:  SILVESTRU SEVER DRAGOMIR.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.3.04

Received 11 September 2020; Accepted 01 December 2020. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 507-516

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In this paper we establish a natural extension of the Wirtinger inequality to the case of complex integral of analytic functions. Applications related to the trapezoid inequalities are also provided. Examples for logarithmic and exponential complex functions are given as well.

Mathematics Subject Classification (2010): 26D15, 26D10.
Keywords: Wirtinger’s inequality, trapezoid inequality, complex integral, analytic functions.
 
         
     
         
         
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