Results 61 to 70 of about 1,345 (129)
Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
doaj +1 more source
Inequalities for a Weighted Multiple Integral [PDF]
, 1999 In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives of (n + 1)-th order ...
Qi, Feng
core
Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
wiley +1 more source
An improved Hardy type inequality on Heisenberg group
Journal of Inequalities and Applications, 2011 Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
doaj
Open MathematicsIn this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
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$L_p$-Bounds for the \v{C}eby\v{s}ev functional
, 2023 In this paper several new bounds for the \v{C}eby\v{s}ev functional involving $L_p$-norm are presented.Comment: This work contains inaccurate results. Some results do not hold.
Alomari, Mohammad W.
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Generalized Fractional Integral Inequalities of σ‐Convex Functions
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley +1 more source
Some new nonlinear retarded sum-difference inequalities with applications
Advances in Difference Equations, 2011 The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
doaj
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz +4 more
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan +4 more
wiley +1 more source