Results 121 to 130 of about 104,407 (324)
A comprehensive review of the Pachpatte-type inequality pertaining to fractional integral operators [PDF]
Surveys in Mathematics and its ApplicationsIn the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Pachpatte-type inequalities involving a variety
Muhammad Tariq +2 more
doaj
Molecular Oncology, EarlyView.LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
wiley +1 more source
Fractional Calculus for Non-Discrete Signed Measures
MathematicsIn this paper, we suggest a first-ever construction of fractional integral and differential operators based on signed measures including a vector-valued case. The study focuses on constructing the fractional power of the Riemann–Stieltjes integral with a
Vassili N. Kolokoltsov +1 more
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On boundedness of unified integral operators for quasiconvex functions
Advances in Difference Equations, 2020 This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove
Dongming Zhao +4 more
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Quadruple integral equations and operators of fractional integration [PDF]
Glasgow Mathematical Journal, 1971 Cooke [1] modified a technique used by Erdelyi and Sneddon [2] to solve triple integral equations of a certain type. In this paper, we extend this method to solve the quadruple integral equationswhere F1, G2, F3 and G4 are prescribed functions of p and ψ(ξ) is to be determined. With no loss of generality we shall assume that G2(p)≡0, G4(p)≡0.
openaire +2 more sources
Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source
Asymptotic Behavior of the Singular Values of Fractional Integral Operators [PDF]
, 1993 In this paper we find the precise asympotic of the singular numbers of the fractional integral operator Iα=∫x0(x − y)α − 1Γ(α)·dy in the case 0 < α ≤ 1/2 and improve the known estimates for 1/2 < α < 1. Also, we obtain some results concerning the precise
Dostanic, M.R.
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Fractal and FractionalWe prove the inequalities of the weighted Hermite–Hadamard type the and Hermite–Hadamard–Mercer type for an extremely rich class of geometrically arithmetically-h-convex functions (GA-h-CFs) via generalized Hadamard–Fractional integral operators (HFIOs).
Asfand Fahad +5 more
doaj +1 more source
Molecular Oncology, EarlyView.The cell‐autonomous roles of interferon type 1 vary based on duration and intensity. While acute, robust signaling results in cancer cell cytotoxic effects, sustained, low‐level signaling is associated with tumor‐promoting effects. This review summarizes current research of IFN‐1 in cancer and within the clinical setting, with an emphasis on female ...
Ashlyn Conant +7 more
wiley +1 more source
Certain recent fractional integral inequalities associated with the hypergeometric operators [PDF]
, 2016 The principle aim of this paper is to establish some new (presumably) fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann–Liouville type fractional integral operators by using ...
Jain, Shilpi +3 more
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