Refinements of Some Integral Inequalities for φ-Convex Functions by Moquddsa Zahra, Yu-Ming Chu, Ghulam Farid

“…In this paper, we are interested to deal with unified integral operators for strongly φ-convex function. We will present refinements of bounds of these unified integral operators and use them to get associated results for fractional integral operators. …”
Get full text

Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces by Yanlong Shi, Li Li, Zhonghua Shen

“…In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular integral operators and λ-central BMO functions.…”
Get full text

Refinements of Various Types of Fractional Inequalities via Generalized Convexity by Yong Tang, Ghulam Farid, M. Y. Youssif, Zakieldeen Aboabuda, Amna E. Elhag, Kahkashan Mahreen

“…This paper aims to find generalizations of inequalities that hold for unified integral operators by applying strongly exponentially α,ℏ−m−p-convex functions. …”
Get full text

Some Fractional Integral Inequalities Involving Mittag-Kernels by Xiujun Zhang, Ghulam Farid, Jiraporn Reunsumrit, Ayyaz Ahmad, Thanin Sitthiwirattham

“…This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. …”
Get full text

A Note about Young’s Inequality with Different Measures by Saba Mehmood, Eridani Eridani, Fatmawati Fatmawati

“…Doubling measure, Young's inequality, and Minköwski’s inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures.…”
Get full text

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions by Chahn Yong Jung, Muhammad Yussouf, Yu-Ming Chu, Ghulam Farid, Shin Min Kang

“…Generalized versions of the Hadamard and the Fejér–Hadamard fractional integral inequalities for harmonically α,h−m-convex functions via generalized fractional integral operators are proved. From presented results, a series of fractional integral inequalities can be obtained for harmonically convex, harmonically h−m-convex, harmonically α,m-convex, and related functions and for already known fractional integral operators.…”
Get full text

Distributed Drives Monitoring and Control: A Laboratory Setup by Mini Sreejeth, Parmod Kumar, Madhusudan Singh

“…The performances of IM and PMSM under parametric variations are predicted through sensitivity analysis. An integrated operation of the drives is demonstrated through experimental and simulation results.…”
Get full text

Classes of uniformly starlike and convex functions by Saeid Shams, S. R. Kulkarni, Jay M. Jahangiri

“…The geometrical properties of these classes and their behavior under certain integral operators are investigated.…”
Get full text

Marcinkiewicz integrals along subvarieties on product domains by Ahmad Al-Salman

“…We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.…”
Get full text

Hardy-type inequalities for integral transforms associated with Jacobi operator by M. Dziri, L. T. Rachdi

“…We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.…”
Get full text

A Korovkin theorem in multivariate modular function spaces by Carlo Bardaro, Ilaria Mantellini

“…In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.…”
Get full text

Herz-Morrey-Hardy Spaces with Variable Exponents and Their Applications by Jingshi Xu, Xiaodi Yang

“…Applying the characterization, the authors obtain the boundedness of some singular integral operators on these spaces.…”
Get full text

On Weighted Hadamard-Type Singular Integrals and Their Applications by Yong Jia Xu

“…By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. …”
Get full text

On K-transform by C. Nasim

“…Using a combination of infinite order linear differential operators and integral operators, the inversion of K-transform is established. …”
Get full text

The Boundedness on Mixed Hardy Spaces by Wei Ding, Meidi Qin, Yueping Zhu

“…In this paper, we obtain the boundedness of singular integral operators in mixed Journé class on mixed Hardy spaces by a direct method.…”
Get full text

Two-Weight Extrapolation on Lorentz Spaces by Wenming Li, Tingting Zhang, Limei Xue

“…We give several two-weight extrapolation theorems on Lorentz spaces which extend the results of Cruz-Uribe and Pérez (2000) and some applications for the singular integral operators, the potential type operators, and commutators.…”
Get full text

New proof of Nagnibida's theorem by Mubariz T. Karaev

“…Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Jα,(Jαf)(z)=∫αzf(t)dt, acting in the space Hoℓ(Ω).…”
Get full text

New approaches for subordination and superordination of multivalent functions associated with a family of linear operators by Seon Hye An, Rekha Srivastava, Nak Eun Cho

“…Moreover, we apply the results and techniques presented here to a class of integral operators.…”
Get full text

Surgery and the relative index in elliptic theory by V. E. Nazaikinskii, B. Yu. Sternin

“…This is a survey article featuring the general index locality principle introduced by the authors, which can be used to obtain index formulas for elliptic operators and Fourier integral operators in various situations, including operators on stratified manifolds and manifolds with singularities.…”
Get full text

Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces by Xukui Shao, Shuangping Tao

“…In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. …”
Get full text