Integral Inequalities and Generalized Convexity

The book covers new research findings in generalized convexity and integral inequalities, with applications in mathematical analysis, fractional calculus, and discrete fractional calculus. It presents integral inequalities of Hermite-Hadamard type, Hermite-Hadamard-Fejer type, and majorization type for generalized strongly convex functions, including those defined on Time scales. It also generalizes and extends the concept of preinvexity for interval-valued functions and stochastic processes, providing Hermite-Hadamard type and Ostrowski type inequalities. The book is ideal for teaching and research in integral inequalities and convexity, with numerous examples and applications.

Format: Hardback
Length: 258 pages
Publication date: 18 September 2023
Publisher: Taylor & Francis Ltd

The book delves into numerous groundbreaking research findings in the realm of generalized convexity and integral inequalities. These inequalities, which employ a wide range of generalized convex functions, find applications in various branches of mathematics, including mathematical analysis, fractional calculus, and discrete fractional calculus.

Within its pages, the book presents integral inequalities of Hermite-Hadamard type, Hermite-Hadamard-Fejer type, and majorization type for generalized strongly convex functions. It also explores Hermite-Hadamard type inequalities for functions defined on Time scales, extending the concept of preinvexity to interval-valued functions and stochastic processes. Furthermore, it offers generalizations and extensions of the preinvexity concept, providing Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities serve as powerful tools for studying the boundedness of generalized convex functions across a diverse array of applications.

Key Features:
Comprehensive Coverage: The book encompasses interval-valued calculus, Time scale calculus, and stochastic processes, offering a comprehensive treatment of these subjects in a single volume.
Numerous Examples: Numerous examples are provided to validate the results and enhance the understanding of the concepts discussed.
Overview of Current State: The book provides an overview of the current state of integral inequalities and convexity, making it accessible to a broader audience, including practitioners and researchers alike.
Applications of Special Means: Special means of real numbers are also discussed, providing additional insights into the field.
Ideal for Teaching and Research: The book is an invaluable resource for anyone teaching courses in integral inequalities or conducting research in this area.

Weight: 554g
Dimension: 160 x 242 x 24 (mm)
ISBN-13: 9781032526324