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AxiomsVolume 11, Issue 8, August 2022, Article number 385

A Brief Overview and Survey of the Scientific Work by Feng Qi(Editorial)(Open Access)

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  • aDepartment of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, United States
  • bDepartment of Mathematics, Çankaya University, Etimesgut, Ankara, 06790, Turkey
  • cDepartment of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan
  • dFaculty of Technical Sciences, University of Novi Sad, Novi Sad, 21125, Serbia
  • eSchool of Mathematics, Hangzhou Normal University, Hangzhou, 311121, China
  • fDepartment of Mathematics, National Kaohsiung Normal University, Kaohsiung, 82444, Taiwan

Abstract

In the paper, the authors present a brief overview and survey of the scientific work by Chinese mathematician Feng Qi and his coauthors. © 2022 by the authors.

Author keywords

additivityBell numberBernoulli numbercomplete elliptic integralcompletely monotonic degreeconvex functiongamma functioninequalitylogarithmically completely monotonic functionmathematical meanmatrixoverviewpartial Bell polynomialpolygamma functionPólya inequalityseries expansionspecial functionstatisticssurveyWallis ratio

Funding details

Funding sponsor Funding number Acronym
Ministry of Science and Technology of the People's Republic of ChinaMOST
China Scholarship CouncilCSC
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja200156,LY21A010019MPNTR
National Natural Science Foundation of China11361038,10001016NSFC
Natural Science Foundation of Zhejiang ProvinceMOST 111-2115-M-017-002ZJNSF
  • 1

    Marco Kosti\u0107 is partially supported by Grant No. 451-03-68/2020/14/200156 of Ministry of Science and Technological Development, Republic of Serbia. Jian Cao is partially supported by Grant No. LY21A010019 of the Zhejiang Provincial Natural Science Foundation of China. Wei-Shih Du is partially supported by Grant No. MOST 111-2115-M-017-002 of the Ministry of Science and Technology of the Republic of China.

  • 2

    Due to his better work in mathematical inequalities and applications, F. Qi and his academic groups obtained support from the National Natural Science Foundation of China with Grant No. 10001016 between 2001 and 2003. Due to this, Qi obtained an invitation and support from Dr. Professor Sever S. Dragomir to visit Victoria University (Melbourne, Australia) for collaboration between November 2001 and January 2002. This is his first visit abroad. Supported by the China Scholarship Council, he visited Victoria University again to collaborate with Dr. Professor Pietro Cerone and Sever S. Dragomir between March 2008 and February 2009.

  • 3

    In (Definition 7 []), the authors introduced the following notion: Suppose that a non-empty set is invex with respect to for . We say that a function is -preinvex with respect to if and only if for and . The main results are the Hermite\u2013Hadamard type inequalities in (Theorems 5 to 9 []), where the authors mainly use the assumption that the function is -preinvex for some real number and . Until now, Qi and Xi\u2019s academic group have jointly published over 120 papers in reputable peer-review journals. Due to their better work in generalizing convex functions and in establishing the Hermite\u2013Hadamard type inequalities, Qi and Xi\u2019s group acquired financial support from the National Natural Science Foundation of China with Grant No. 11361038 between 2014 and 2017.

  • ISSN: 20751680
  • Source Type: Journal
  • Original language: English
  • DOI: 10.3390/axioms11080385
  • Document Type: Editorial
  • Publisher: MDPI

  Agarwal, R.P.; Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, United States;
  Karapinar, E.; Department of Mathematics, Çankaya University, Etimesgut, Ankara, Turkey;
© Copyright 2022 Elsevier B.V., All rights reserved.

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