Results 51 to 60 of about 277 (168)

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan   +2 more
wiley   +1 more source

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami   +5 more
wiley   +1 more source

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo   +2 more
wiley   +1 more source

Some Classical Inequalities Associated with Generic Identity and Applications

open access: yesAxioms
In this paper, we derive a new generic equality for the first-order differentiable functions. Through the utilization of the general identity and convex functions, we produce a family of upper bounds for numerous integral inequalities like Ostrowski’s ...
Muhammad Zakria Javed   +4 more
doaj   +1 more source

Approximation for Csiszár f-divergence [PDF]

open access: yes, 2004
Thesis (Ph.D.)--University of Adelaide, School of Mathematical Sciences, Discipline of Applied Mathematics ...
Glus̆c̆ević, Vido
core  

On some matrix counting problems

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract We estimate the frequency of singular matrices and of matrices of a given rank whose entries are parametrised by arbitrary polynomials over the integers and modulo a prime p$p$. In particular, in the integer case, we improve a recent bound of V. Blomer and J. Li (2022).
Ali Mohammadi   +2 more
wiley   +1 more source

On the Generalizations of Gershgorin\u27s Theorem [PDF]

open access: yes, 1986
This paper deals with generalization fo Gershgorin\u27s theorem. This theorem is investigated and generalized in terms of contour integrals, directed graphs, convex analysis, and clock matrices. These results are shown to apply to some specified matrices
Lee, Sang-Gu
core   +1 more source

Some Ostrowski type inequalities

open access: yesMathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A note on the squarefree density of polynomials

open access: yesMathematika, Volume 70, Issue 4, October 2024.
Abstract The conjectured squarefree density of an integral polynomial P$\mathcal {P}$ in s$s$ variables is an Euler product SP$\mathfrak {S}_{\mathcal {P}}$ which can be considered as a product of local densities. We show that a necessary and sufficient condition for SP$\mathfrak {S}_{\mathcal {P}}$ to be 0 when P∈Z(X1,…,Xs)$\mathcal {P}\in \mathbb {Z}(
R. C. Vaughan, Yu. G. Zarhin
wiley   +1 more source

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