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In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.

Classical Analysis and ODEs · Mathematics 2007-10-22 Jamal Rooin

This paper discusses a general Aitken delta-squared generalized Jungck-modified iterative scheme. The study applies generalized versions of Aitken delta squared procedure and Venter theorem to discuss positivity and global stability of the…

Functional Analysis · Mathematics 2015-06-17 M. De la sen

We consider different generalizations of the Euler formula and discuss the properties of the associated trigonometric functions. The problem is analyzed from different points of view and it is shown that it can be formulated in a natural…

Classical Analysis and ODEs · Mathematics 2011-03-15 D. Babusci , G. Dattoli , E. Di Palma , E. Sabia

We propose a new integral based on Taylor measures, study its properties extensively, and we illustrate that it includes many concepts from mathematics as special cases. In particular, the new integral emerges as a generalization of the…

General Mathematics · Mathematics 2026-05-11 Athanasios Christou Micheas

When the co-recursion and co-dilation in the recurrence relation of certain sequences of orthogonal polynomials are not at the same level, the behaviour of the modified orthogonal polynomials is expected to have different properties…

Classical Analysis and ODEs · Mathematics 2024-05-14 Vinay Shukla , A. Swaminathan

We give a purely derivator-theoretical reformulation and proof of a classic result of Happel and Ladkani, showing that it occurs uniformly across stable derivators and it is then independent of coefficients. The resulting equivalence…

Representation Theory · Mathematics 2025-08-05 Chiara Sava

We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials satisfying linear recurrence relations of finite length; the…

Mathematical Physics · Physics 2024-08-08 Emil Horozov , Boris Shapiro , Milos Tater

We give a short introduction, beginning with the Kerr geometry itself, to the basic results, motivation, open problems and future directions of the Kerr/CFT correspondence.

High Energy Physics - Theory · Physics 2011-07-26 Irene Bredberg , Cynthia Keeler , Vyacheslav Lysov , Andrew Strominger

The objective of this paper is, in the main, twofold: Firstly, to develop an algebraic setting for dealing with Bell polynomials and related extensions. Secondly, based on the author's previous work on multivariate Stirling polynomials…

Combinatorics · Mathematics 2021-01-28 Alfred Schreiber

A product of K\"ahler manifolds also carries a K\"ahler metric. In this short note we would like to study the product of generalized $p-$K\"ahler manifolds, compact or not. The results we get extend the known results (balanced, SKT, sG…

Differential Geometry · Mathematics 2017-02-16 Lucia Alessandrini

In this paper, we introduce a generalization of the pointwise H\"older spaces. We give alternative definitions of these spaces, look at their relationship with the wavelets and introduce a notion of generalized H\"older exponent.

Functional Analysis · Mathematics 2013-07-12 Damien Kreit , Samuel Nicolay

We introduce a concept of a quasi proximate order which is a generalization of a proximate order and allows us to study efficiently analytic functions whose order and lower order of growth are different. We prove an existence theorem of a…

Complex Variables · Mathematics 2020-07-17 Igor Chyzhykov , Petro Filevych , Jouni Rättyä

We use correspondences to define a purely topological equivariant bivariant K-theory for spaces with a proper groupoid action. Our notion of correspondence differs slightly from that of Connes and Skandalis. We replace smooth K-oriented…

K-Theory and Homology · Mathematics 2012-06-29 Heath Emerson , Ralf Meyer

The paper contains an interesting generalization of the classical Taylor expansion formula and four applications

Classical Analysis and ODEs · Mathematics 2012-06-27 D. V. Ionescu

We give a systematic, abstract formulation of the image normalization method as applied to a general group of image transformations, and then illustrate the abstract analysis by applying it to the hierarchy of viewing transformations of a…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Stephen L. Adler

Motivated by the splitting principle, we define certain simplicial complexes associated to an associative ring $A$, which have an action of the general linear group $GL(A)$. This leads to an exact sequence, involving Quillen's algebraic…

Algebraic Geometry · Mathematics 2015-03-17 M. V. Nori , V. Srinivas

Let L be an infinite regular language on a totally ordered alphabet (A,<). Feeding a finite deterministic automaton (with output) with the words of L enumerated lexicographically with respect to < leads to an infinite sequence over the…

Computational Complexity · Computer Science 2007-05-23 Michel Rigo

Adapting a claim of M. Kracht, we establish a characterization of the typable partial applicative algebras.

Logic · Mathematics 2009-09-30 P. H. Rodenburg , I. Bethke

In this paper one extends the binomial and trinomial coefficients to the concept of 'k-nomial' coefficients, and one obtains some properties of these. As an application one generalizes Pascal's triangle.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

We present a generalization of Krein-\v{S}mul'jan theorem which involves several operators. Given bounded selfadjoint operators $A,B_1,\ldots,B_m$ acting on a Hilbert space $\mathcal{H}$, we provide sufficient conditions to determine…

Functional Analysis · Mathematics 2025-07-24 Santiago gonzalez Zerbo , Alejandra Maestripieri , Francisco Martínez Pería