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"The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The author also introduces and explores the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators that will play a central role throughout the book. The following chapter is devoted to the Ostrowski?s type inequalities, which provide sharp error estimates in approximating the value of a function by its integral mean and can be used to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums. The author also presents recent results extending Ostrowski inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. The final chapter illustrates recent results obtained in extending trapezoidal type inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. Applications for mid-point inequalities and some elementary functions of operators as also provided."

"For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications. "

"In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems."

"Perkembangan Teknologi Informasi dan Komunikasi (TIK) saat ini telah menjadi bagian penting dalam kehidupan manusia. Di Indonesia, sebagai negara berkembang saat ini mengalami peningkatan dalam hal jumlah pengguna internet, jumlah perangkat seluler yang digunakan, dan langganan broadband, tetapi dengan adanya pembangunan wilayah yang tidak merata, ketidaksetaraan geografis, masih terdapat kesenjangan digital yang mencolok di dalam dan antar kabupaten. Tujuan dari studi ini adalah membangun kerangka konseptual kesenjangan digital untuk 514 kabupaten di Indonesia dengan mengeksplorasi pengaruh dari kesenjangan spasial. Metode yang digunakan adalah Geographically Weighted Panel Regression (GWPR) dengan fungsi kernel adaptive Gaussian untuk analisis di setiap daerah dan Two-stage Least Square (TSLS) untuk menjelaskan hubungan kausal satu arah antara kesenjangan digital dan kesenjangan spasial. Hasil analisis menggunakan GWPR dan TSLS menunjukkan bahwa kesenjangan spasial berhubungan dengan kesenjangan digital. Namun, pengaruh dari kesenjangan spasial tersebut berbeda-beda di setiap kabupaten di Indonesia.

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At the present, the development of Information and Communication Technologies (ICTs) has become a vital part of human life. In Indonesia, as a developing country that is currently growing in terms of the number of internet users, mobile devices in use, and broadband subscriptions, but that has experienced unequal regional development, geographic inequalities and it has notable digital divide within and between districts. The aim of this study is to build a conceptual framework of digital divides for 514 districts in Indonesia by exploring the effects of spatial inequalities. The method used was Geographically Weighted Panel Regression (GWPR) with Gaussian adaptive kernel function for cluster analysis and Two-stage Least Square (TSLS) to explain the one-way causal relationship between digital divide and spatial inequalities. The result of analysis using both GWPR and TSLS indicates that spatial inequalities are associated with the digital divides. Nevertheless, the effect of spatial inequalities varies by districts in Indonesia.

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"The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1"