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A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Quantum Calculus
Foundations, 2023 A review of results on Hermite–Hadamard (H-H) type inequalities in quantum calculus, associated with a variety of classes of convexities, is presented. In the various classes of convexities this includes classical convex functions, quasi-convex functions,
Muhammad Tariq +2 more
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On inversion of H-transform in 𝔏v,r-space
International Journal of Mathematics and Mathematical Sciences, 1998 The paper is devoted to study the inversion of the integral transform (Hf)(x)=∫0∞Hp,qm,n[xt|(ai,αi)1,p(bj,βj)1,p|] f(t)dt involving the H-function as the kernel in the space 𝔏v,r of functions f such that ∫0∞|tυf(t ...
Sergei A. Shlapakov +2 more
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On properties of h-differentiable functions
Журнал Белорусского государственного университета: Математика, информатика, 2021 Research in the theory of functions of an h-complex variable is of interest in connection with existing applications in non-Euclidean geometry, theoretical mechanics, etc.
Vladislav A. Pavlovsky, Igor L. Vasiliev
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H-function with complex parameters I: existence
International Journal of Mathematics and Mathematical Sciences, 2001 An H-function with complex parameters is defined by a Mellin-Barnes type integral. Necessary and sufficient conditions under which the integral defining the H-function converges absolutely are established.
Fadhel A. Al-Musallam, Vu Kim Tuan
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Advances in Difference Equations, 2021 This article investigates new inequalities for generalized Riemann–Liouville fractional integrals via the refined ( α , h − m ) $(\alpha ,h-m)$ -convex function. The established results give refinements of fractional integral inequalities for ( h − m ) $(
Chahn Yong Jung +4 more
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Le Matematiche, 2016 Summary: The present paper aims at the derivation of fractional calculus formulae for the \(\overline{H}\)-function due to Inayat-Hussain by the application of fractional calculus formulae due to Saigo and Meada involving a general class of polynomial \(S_n^{a,b,\tau}(.)\).
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Advancing C–H functionalization [PDF]
Science, 2020 Organic Synthesis The ability to selectively functionalize C–H bonds of complex molecules is one of the longstanding challenges for the organic synthesis community. Huang et al. demonstrate a practically useful method for highly regioselective C–H functionalization of ethers by using trisaminocyclopropenium as the electrophotocatalyst in the presence ...
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H-function with complex parameters II: evaluation
International Journal of Mathematics and Mathematical Sciences, 2001 Sufficient conditions for computation of the H-functions with complex parameters by means of residues are derived and some examples are given.
Fadhel A. Al-Musallam, Vu Kim Tuan
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Asymptomatic infection poses a significant risk for children undergoing hematopoietic stem cell transplantation (HSCT). Pre‐transplant surveillance computed tomography (CT) is commonly used to identify occult infection, though its diagnostic yield remains uncertain.
Tyler Obermark +9 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients with ovarian cancer often present with massive ascites, leading to significant protein loss during surgical procedures. Although cell‐free concentrated ascites reinfusion therapy (CART) is used in palliative settings to mitigate protein loss, its application in intraoperative settings remains unexplored.
Yutaka Yoneoka +7 more
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