Approximation Theory and Analytic Inequalities
暫譯: 逼近理論與解析不等式

本書專注於數學中多個重要領域，其中近似方法扮演著關鍵角色。它展示了關於各種分析不等式的前沿研究，特別強調了在泛函分析、算子理論、非線性分析和變分微積分中的微分和積分不等式，並涵蓋了大量應用，使這部作品成為一個寶貴的資源。讀者將接觸到凸性理論、多項式不等式、極值問題、預測理論、算子的固定點理論、偏微分方程（PDEs）、分數積分不等式、多維數值積分、高斯-雅可比和赫爾米特-哈達馬爾類不等式、希爾伯特類不等式，以及烏拉姆的泛函方程穩定性。這些貢獻由著名研究人員撰寫，提供了最新的信息和多個結果，對於包括研究生和數學、物理學、經濟學、運籌學及其相互關聯領域的研究人員在內的廣泛讀者群體都可能有用。

Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 46.

泰米斯托克利斯·M·拉西亞斯是雅典國立技術大學的數學教授。他的研究興趣包括非線性分析、全局分析、逼近理論、函數分析、函數方程、不等式及其應用。拉西亞斯教授於1976年在加州大學伯克利分校獲得數學博士學位；他的論文指導教授是斯蒂芬·斯梅爾，學術指導教授是陳省身。除了他廣泛的期刊發表列表外，拉西亞斯教授還作為作者或卷編輯出版了幾本與施普林格（Springer）合作的書籍。泰·M·拉西亞斯獲得了幾個獎項，並且是多本數學分析和優化期刊的活躍編輯委員會成員。他的出版物獲得了大量引用，h-index為46。