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A new class of functions called L-fuzzy weakly Semi-Preopen (Semi-Preclosed) functions in L-fuzzy topological spaces are introduced in this paper. Some characterizations of this class and its properties and the relationship with other…

General Topology · Mathematics 2010-10-05 A. Ghareeb

We present a formal definition of superoscillating function. We discuss the limitations of previously proposed definitions and illustrate that they do not cover the full gamut of superoscillatory behaviours. We demonstrate the suitability…

Quantum Physics · Physics 2024-03-20 Yu Li , José Polo-Gómez , Eduardo Martín-Martínez

Submodular functions are discrete functions that model laws of diminishing returns and enjoy numerous algorithmic applications. They have been used in many areas, including combinatorial optimization, machine learning, and economics. In…

Data Structures and Algorithms · Computer Science 2012-08-24 Maria-Florina Balcan , Nicholas J. A. Harvey

Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is paid to triangular norm-based probabilistic…

Classical Analysis and ODEs · Mathematics 2012-07-12 Lenka Halčinová , Ondrej Hutník , Radko Mesiar

In this paper, we establish some new inequalities of the Hermite-Hadamard like for class of (h-s)_{1,2}-convex functions which are ordinary, super-multiplicative or similarly ordered and nonnegative.

Classical Analysis and ODEs · Mathematics 2012-03-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Mevlut Tunc

We introduce a new class of pseudoprimes. In this work we characterize Midy pseudoprimes, give some of their properties and established interesting connections with other known pseudoprimes, in particular we show that every divisor of a…

Number Theory · Mathematics 2012-03-08 John H. Castillo , Gilberto García-Pulgarín , Juan Miguel Velásquez-Soto

In this note we describe some results concerning upper and lower bounds for the Jensen functional. We use several known and new results to shed light on the concepts of superterzatic functions.

Classical Analysis and ODEs · Mathematics 2016-05-13 Flavia-Corina Mitroi-Symeonidis

We provide new necessary and sufficient conditons for ensuring strong quasiconvexity in the nonsmooth case and, as a consequence, we provide a proof for the differentiable case. Furthermore, we improve the quadratic growth property for…

Optimization and Control · Mathematics 2025-09-29 Nicolas Hadjisavvas , Felipe Lara

The aim of this paper is to define a new operator by using the generalized Struve functions. By using this operator we define a subclass of analytic functions. We discuss some properties of this class such as inclusion problems, radius…

Complex Variables · Mathematics 2015-02-18 Mohsan Raza , Nihat Yağmur

This paper deals with constructions and properties of unusual function from R to R, as discontinuous additive functions and everywhere surjections.

History and Overview · Mathematics 2016-05-13 Claudio Bernardi

This paper deals with a new kind of generalized functions, called "ultrafunctions" which have been introduced recently and developed in some previous works. Their peculiarity is that they are based on a Non-Archimedean field namely on a…

Analysis of PDEs · Mathematics 2014-05-19 Vieri Benci , Lorenzo Luperi Baglini

In this paper, we introduce and share the new concept of $\mathcal{MT}(\lambda )$-functions and its some characterizations.

Functional Analysis · Mathematics 2015-06-11 Wei-Shih Du

Several subadditivity results and conjectures are given for matrices (or operators), block-matrices, concave functions and norms.

Functional Analysis · Mathematics 2008-05-15 Jean-Christophe Bourin

We study arithmetic inequalities for multiplicative, sub(super)-multiplicative, sub(super)-homogeneous functions. Applications for the classical arithmetic functions are pointed out.

Number Theory · Mathematics 2011-05-03 Jozsef Sandor

In this paper, we propose a new method of strong-coupling expansion

Mathematical Physics · Physics 2007-05-23 Z. Y. Wang , B. He , C. D. Xiong

We introduce a new class of multiplications of distributions in one dimension merging together two different regularizations of distributions. Some of the features of these multiplications are discussed in a certain detail. We use our…

Mathematical Physics · Physics 2009-04-02 F. Bagarello

The object of the present paper is to introduce and investigate two new general subclasses ${{S}^{*}}C(\alpha ,\beta ;\gamma )$ and $T{{S}^{*}}C(\alpha ,\beta ;\gamma )~~(\alpha, \beta \in [0,1),~\gamma \in [0,1])$ of the analytic…

Complex Variables · Mathematics 2018-02-06 Sercan Topkaya , Nizami Mustafa

An elementary introduction to functional methods and the Schwinger-Dyson equations is presented. Emphasis is placed on practical topics not normally covered in textbooks, such as a diagrammatic method for generating equations at high order,…

High Energy Physics - Phenomenology · Physics 2025-12-05 Eric S. Swanson

The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new relations between the superoscillatory coefficients and…

Classical Analysis and ODEs · Mathematics 2023-04-03 Fabrizio Colombo , Rolf Soeren Krausshar , Irene Sabadini , Yilmaz Simsek

We give a thoroughful explanation of the general properties of different, general scales, corresponding to different (all possible) mathematical functions f(x), we mention and analyse many examples. These observations and statements might…

History and Overview · Mathematics 2017-06-13 Istvan Szalkai