內容大鋼
本書為國外優秀數學著作原版系列引進的英文數學專著，由國際知名不等式理論領域學者D.S.米特里諾維奇、J.E.佩卡里克與A.M.芬克聯合撰寫，是函數、導數與積分不等式方向的經典代表性著作。
全書體系完備，共設置十八個核心章節，覆蓋朗道-柯爾莫哥洛夫型不等式、維廷格相關不等式、奧皮亞不等式、哈代與卡勒曼類不等式、希爾伯特型不等式、李雅普諾夫及德拉瓦萊普桑不等式、茲莫爾維奇不等式、卡爾森類不等式、含核積分不等式、卷積與重排不等式、卡普柳金型不等式、單變數及高維度乃至抽象空間下的格朗沃爾不等式等核心研究方向，同時專門設置章節梳理積分不等式的通用證明方法與特殊類不等式結論。
全書保留原版經典內容，兼具理論深度與實用參考價值，可為數學專業基礎數學、應用數學等方向的研究者、高校師生提供不等式領域的系統化權威參考資料。
目錄
PREFACE
ORGANIZATION OF THE BOOK
NOTATION
CHAPTER I LANDAU-KOLMOGOROV AND RELATED INEQUALITIES
CHAPTER II AN INEQUALITY ASCRIBED TO WIRTINGER AND RELATED RESULTS
CHAPTER III OPIAL'S INEQUALITY
CHAPTER IV HARDY'S, CARLEMAN'S AND RELATED INEQUALITIES
CHAPTER V HILBERT'S AND RELATED INEQUALITIES
CHAPTER VI INEQUALITIES OF LYAPUNOV AND OF DE LA VALLEE POUSSIN
CHAPTER VII ZMORVIC'S AND RELATED INEQUALITIES
CHAPTER VIII CARLSON'S AND RELATED INEQUALITIES
CHAPTER IX INEQUALITIES INVOLVING KERNELS
CHAPTER X CONVOLUTION, REARRANGEMENT AND RELATED INEQUALITIES
CHAPTER XI INEQUALITIES OF CAPLYGIN TYPE
CHAPTER XII INEQUALITIES OF GRONWALL TYPE OF A SINGLE VARIABLE
CHAPTER XIII GRONWALL INEQUALITIES IN HIGHER DIMENSION
CHAPTER XIV GRONWALL INEQUALITIES ON OTHER SPACES: DISCRETE, FUNCTIONAL AND ABSTRACT
CHAPTER XV INTEGRAL INEQUALITIES INVOLVING FUNCTIONS WITH BOUNDED DERIVATIVES
CHAPTER XVI INEQUALITIES OF BERNSTEIN-MORDELL TYPE
CHAPTER XVII METHODS OF PROOFS FOR INTEGRAL INEQUALITIES
CHAPTER XVIII PARTICULAR INEQUALITIES
NAME INDEX
編輯手記
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