Results 111 to 120 of about 104,407 (324)
Refinements of some integral inequalities for unified integral operators
Journal of Inequalities and Applications, 2021 In this paper we are presenting the refinements of integral inequalities established for convex functions. Consequently, we get refinements of several fractional integral inequalities for different kinds of fractional integral operators.
Chahn Yong Jung +4 more
doaj +1 more source
q-fractional integral operators with two parameters
Advances in Applied MathematicsWe use the Poisson kernel of the continuous $q$-Hermite polynomials to introduces families of integral operators, which are semigroups of linear operators. We describe the eigenvalues and eigenfunctions of one family of operators. The action of the semigroups of operators on the Askey--Wilson polynomials is shown to only change the parameters but ...
Mourad E. H. Ismail, Keru Zhou
openaire +2 more sources
Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
Molecular Oncology, EarlyView.IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
wiley +1 more source
Certain inequalities via generalized proportional Hadamard fractional integral operators
Advances in Differential Equations, 2019 In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals.
G. Rahman +4 more
semanticscholar +1 more source
Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
On the Multilinear Fractional Integral Operators with Correlation Kernels [PDF]
Journal of Fourier Analysis and Applications, 2017 42 pages. A new proof by Brascamp-Lieb inequality is given in this version.
Shi, Zuoshunhua, Wu, Di, Yan, Dunyan
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
On Mikusinski's operators of fractional integration
, 1975 In the field F of convolution quotients, b∝ is the operator of integration of fractional order ∝ and b∝ f Is the Riemann - Liouville integral of order ∝ of f. In this paper we give a generalization of this operator, which is denoted as b∝,va . Some particular cases are mentioned and the inverse operator is obtained.
Batting, A., Kalla, S. L.
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Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
wiley +1 more source
Bounds for singular fractional integrals and related Fourier integral operators [PDF]
, 2003 We prove sharp Lp−Lq endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature ...
Seeger, Andreas, Wainger, Stephen
core +1 more source