TY - GEN AB - This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, GaussJacobi and HermiteHadamard type inequalities, Hilbert-type inequalities, and Ulams stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections. AU - Rassias, Themistocles M., CN - QA221 CY - Cham, Switzerland : DA - 2021. DO - 10.1007/978-3-030-60622-0 DO - doi ID - 1438358 KW - Approximation theory. KW - Integral inequalities. KW - Théorie de l'approximation. KW - Inégalités intégrales. LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-60622-0 N2 - This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, GaussJacobi and HermiteHadamard type inequalities, Hilbert-type inequalities, and Ulams stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections. PB - Springer, PP - Cham, Switzerland : PY - 2021. SN - 9783030606220 SN - 3030606228 T1 - Approximation theory and analytic inequalities / TI - Approximation theory and analytic inequalities / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-60622-0 ER -