This book covers contemporary topics in mathematical analysis and its applications and relevance in other areas of research. It provides a better understanding of methods, problems, and applications in mathematical analysis. It also covers applications and uses of operator theory, approximation theory, optimization, variable exponent analysis, inequalities, special functions, functional equations, statistical convergence and some function spaces, and presents various associated problems and ways to solve such problems. The book provides readers a better understanding of discussed research problems by presenting related developments in reasonable details. It strives to bring scientists, researchers and scholars together on a common platform. Ferit Gürbüz has BSc (Maths), MSc (Maths) and PhD (Maths) degrees from Ankara University, Ankara, Turkey in 2008, 2011 and 2015, respectively. He is a Professor in the Department of Mathematics at Kırklareli University (Turkey). His areas of interest are Harmonic analysis, Morrey type spaces, Besov-Triebel-Lizorkin type spaces, Herz type spaces, p-adic function spaces, variable exponent, singular integrals, pseudo differential operators, maximal function, Riesz potential, oscillation and variation operators, intrinsic square function, rough kernel, Marcinkiewicz integrals, p-adic fractional Hausdorff operator etc. He has served as an editor and referee for many journals and books. He has also written many articles and book chapters.