Results 41 to 50 of about 1,674,032 (301)

New quantum estimates in the setting of fractional calculus theory

Advances in Difference Equations, 2020
In this article, the investigation is centered around the quantum estimates by utilizing quantum Hahn integral operator via the quantum shift operator ψ q η ( ζ ) = q ζ + ( 1 − q ) η ${}_{\eta}\psi_{\mathfrak{q}}(\zeta)=\mathfrak{q}\zeta+(1-\mathfrak{q})\
Saima Rashid, Zakia Hammouch, Rehana Ashraf, Dumitru Baleanu, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second q b $q^{b}$ -derivatives

Advances in Difference Equations, 2021
In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by applying the notion of q b $q^{b}$ -integral. We prove some new inequalities related with right-hand sides of q b $q^{b}$ -Hermite–Hadamard inequalities for differentiable
Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas, Yu-Ming Chu   +3 more
doaj   +1 more source

Refinements of quantum Hermite-Hadamard-type inequalities

Open Mathematics, 2021
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin, Khan Sundas, Ali Muhammad Aamir, Chu Yu-Ming   +3 more
doaj   +1 more source

On a Reduction Formula for a Kind of Double q-Integrals [PDF]

Symmetry, 2016
Using the q-integral representation of Sears’ nonterminating extension of the q-Saalschütz summation, we derive a reduction formula for a kind of double q-integrals. This reduction formula is used to derive a curious double q-integral formula, and also allows us to prove a general q-beta integral formula including the Askey–Wilson integral formula as a
openaire   +2 more sources

On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

Boundary Value Problems, 2018
In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions.
Nichaphat Patanarapeelert, Thanin Sitthiwirattham   +1 more
doaj   +1 more source

Determining Parental Factors for Clinical Trial Attrition in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background/Objectives Despite high enrollment rates on Children's Oncology Group (COG) protocols, attrition after initial consent is challenging, introducing bias and prolonging trial completion. While adult oncology literature has identified predictors of withdrawal, little is known about caregiver decision‐making for child participation in ...
Kimberly L. Stathas, Jakob Q. Weiss, Kellee N. Parker, Cathy Lee‐Miller   +3 more
wiley   +1 more source

Infinite families of Q-integral graphs [PDF]

, 2010
In this article, we characterize all signless Laplacian integral graphs (here called Q-integral graphs) in the following classes: complete split graphs, multiple complete split-like graphs, extended complete split-like graphs, multiple extended split ...
de Freitas, Maria Aguieiras A., Jurkiewicz, Samuel, Del-Vecchio, Renata R., de Abreu, Nair M.M.   +3 more
core   +1 more source

Some (p, q)-Integral Inequalities of Hermite–Hadamard Inequalities for (p, q)-Differentiable Convex Functions [PDF]

, 2022
In this paper, we establish a new (p,q)b-integral identity involving the first-order (p,q)b-derivative. Then, we use this result to prove some new (p,q)b-integral inequalities related to Hermite–Hadamard inequalities for (p,q)b-differentiable ...
Jessada Tariboon, Hüseyin Budak, Tariboon, Jessada, Kamsing Nonlaopon, Sotiris K. Ntouyas, Budak, Hüseyin, Nonlaopon, Kamsing, Luangboon, Waewta, Ntouyas, Sotiris K., Waewta Luangboon   +9 more
core   +2 more sources

q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory

Journal of Inequalities and Applications, 2020
In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometric types.
Shrideh Khalaf Al-Omari
doaj   +1 more source

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo, Weisi Dai, Jie Mao, Mei Ye, Xingshan Lu, Xiaocui Zhang   +5 more
wiley   +1 more source