A New Proof of the Stronger Second Mean Value Theorem for Integrals
Received:November 09, 2020  Revised:December 08, 2020
Key Word: Second mean value theorem for integrals  
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Xiquan SHI Delaware State University AMRC, Delaware State University, Dover
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Abstract:
      In [1], the authors obtained a stronger version of the second mean value theorem for integral with some restrictions. In this paper, the stronger version theorem is proved without any restriction. The result is first restricted to the Riemann integrable functions and can be easily generalized to ???? integrable functions by using the well-known result that continuous functions are dense in the Banach space ????[??,??] for any ??≥1.
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