Results 51 to 60 of about 5,587,423 (323)
Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator
Symmetry, 2019 This article presents certain families of analytic functions regarding q-starlikeness and q-convexity of complex order γ ( γ ∈ C \ 0 ) . This introduced a q-integral operator and certain subclasses of the newly introduced classes are defined by using ...
Shahid Mahmood +5 more
semanticscholar +1 more source
An inequality for q-integral and its applications [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Asymptotic behaviour at infinity of solutions of second kind integral equations on unbounded regions of Rn [PDF]
, 1994 We consider second kind integral equations of the form x(s) - (abbreviated x - K x = y ), in which Ω is some unbounded subset of Rn. Let Xp denote the weighted space of functions x continuous on Ω and satisfying x (s) = O(|s|-p ),s → ∞We show that if the
Peplow, AT, Chandler-Wilde, SN
core +4 more sources
Mathematics, 2019 In this paper, we study the existence of solutions for a new class of fractional q-integro-difference equations involving Riemann-Liouville q-derivatives and a q-integral of different orders, supplemented with boundary conditions containing q-integrals ...
S. Etemad, S. Ntouyas, B. Ahmad
semanticscholar +1 more source
Inequalities which include q-integrals
Bulletin: Classe des sciences mathematiques et natturalles, 2006 The main problem in analyzing inequalities which include q-integrals is the fact that q-integral of a function over an interval [a; b] (0 < a < b) is defined by the difference of two infinite sums. Thus defined q- integral properties must include the points outside of interval of integration.
Stanković, M. S. +2 more
openaire +3 more sources
On the q-Analogues of Srivastava’s Triple Hypergeometric Functions
Axioms, 2013 We find Euler integral formulas, summation and reduction formulas for q-analogues of Srivastava’s three triple hypergeometric functions. The proofs use q-analogues of Picard’s integral formula for the first Appell function, a summation formula for the ...
Thomas Ernst
doaj +1 more source
On some new quantum trapezoid-type inequalities for q-differentiable coordinated convex functions
Journal of Inequalities and Applications, 2023 In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite–Hadamard inequalities for coordinated convex functions. We also show that the inequalities proved in this
Fongchan Wannalookkhee +4 more
doaj +1 more source
Studia Universitatis Babeş-Bolyai. Mathematica, 2018 In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain $q$-integral operator in the open unit disk $$\mathbb{U}=\{z: z\in \mathbb{C} \quad \text{and} \quad \left \vert z\right ...
H. Srivastava +4 more
semanticscholar +1 more source
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 +4 more
doaj +1 more source
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 +3 more
doaj +1 more source