Results 51 to 60 of about 1,323 (132)
A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core
Generalized Fractional Integral Inequalities of σ‐Convex Functions
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
Extension of Hu Ke's inequality and its applications
In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
doaj
A note on certain convolution operators
In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.Comment: 10 ...
Nayar, Piotr, Tkocz, Tomasz
core +1 more source
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
Some new nonlinear retarded sum-difference inequalities with applications
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
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
In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming +4 more
doaj
Copson-type Inequalities via the k-Hadamard Operator
In this paper, we present a novel class of Copson-type inequalities involving the right-sided k-Hadamard fractional integral operator with all parameters of integrability p ≠ 0 and obtain some classical special cases of Copson inequalities.
Benaissa Bouharket, Azzouz Noureddine
doaj +1 more source
An improved Hardy type inequality on Heisenberg group
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

