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Banach function algebras
In this chapter, we shall concentrate on commutative Banach algebras, especially on commutative, semisimple Banach algebras, identified with Banach...
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Surge Function
Figure 22.1 is from the Function Gallery chapter, but we repeat it here as it is central to this chapter. In the chapter our goal is to understand...
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Function spaces
This chapter presents an in-depth study of several classes of vector-valued function spaces defined by smoothness conditions.
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Function Spaces, Theory and Applications
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert...
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Function Spaces
This chapter provides the backgrounds, including definitions and results, of several important functions and sequence spaces, which are needed in the...
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The Accumulation Function
In Chapter 9 we sketched graphs of the derivative of a function before we had a formal algebraic way to computer derivatives. We realized that we can...
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Expansion formulas for a class of function related to incomplete Fox–Wright function
Our aim in the present paper is to present some properties involving a new class of function related to the incomplete Fox–Wright function More...
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Modeling the Objective Function
The objective function of a mathematical program is what an optimization procedure uses to select better solutions over poorer solutions. For...
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Study of the Analytic Function Related to the Le-Roy-Type Mittag-Leffler Function
We study some geometric properties (such as univalence, starlikeness, convexity, and close-to-convexity) of Le-Roy-type Mittag-Leffler function. In...
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Parametric general fractional calculus: nonlocal operators acting on function with respect to another function
In this paper, we present the definitions and some properties of the general fractional integrals (GFIs) and general fractional derivatives (GFDs) of...
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The Function Gallery
Each graph below is a real world data set with a fitted curve. The fitted curves will be used throughout the text. Note that each graph caption...
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Lectures on Analytic Function Spaces and their Applications
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert...
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Identities associated to a generalized divisor function and modified Bessel function
In his lost notebook, Ramanujan noted down many elegant identities involving divisor functions and the modified K -Bessel function, and some of them...
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Operators on Function Spaces
This is a set of lecture notes to accompany a series of talks given as part of the Fields Institute session on Operators on Function Spaces from...
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Preliminaries on Function Spaces
This chapter contains all necessary background on function spaces that will be used later on.
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A Short Note on the Twice Differentiability of the Marginal Function of a Convex Function
The main result concerns the second-order differentiability of the marginal function of a convex twice differentiable function. The inf-convolution...
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Bidirectional Texture Function Modeling
An authentic material’s surface reflectance function is a complex function of over 16 physical variables, which are unfeasible both to measure and to...
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Chebyshev Approximation of a Multivariable Function with Reproducing the Values of the Function and Its Partial Derivatives
The method for constructing the Chebyshev approximation of a discrete multivariable function with reproducing the values of the function and its...
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Algorithms for maximizing monotone submodular function minus modular function under noise
Submodular function has the property of diminishing marginal gain, and thus it has a wide range of applications in combinatorial optimization and in...
