Results 41 to 50 of about 2,972,572 (324)

Some applications of subordination theorems associated with fractional $q$-calculus operator

open access: yesMathematica Bohemica, 2022
. Using the operator D mq,̺ ( λ, l ), we introduce the subclasses Y ∗ mq,̺ ( l, λ, γ ) and K ∗ mq,̺ ( l, λ, γ ) of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results ...
W. Kota, R. El-ashwah
semanticscholar   +1 more source

The q-Sumudu transform and its certain properties in a generalized q-calculus theory

open access: yes, 2021
In this paper we consider a generalization to the q -calculus theory in the space of q -integrable functions. We introduce q -delta sequences and develop q -convolution products to derive certain q -convolution theorem.
S. Al-Omari
semanticscholar   +1 more source

A q-umbral calculus [PDF]

open access: yes, 1981
An algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many of the umbral calculus results follow simply by introducing a comultiplication map and requiring it to be an algebra map. The same approach is used to construct a
Ihrig, Edwin C, Ismail, Mourad E.H
core   +1 more source

On Some New Inequalities of Hermite-Hadamard Midpoint and Trapezoid Type for Preinvex Functions in p, q-Calculus

open access: yesSymmetry, 2021
In this paper, we establish some new Hermite–Hadamard type inequalities for preinvex functions and left-right estimates of newly established inequalities for p,q-differentiable preinvex functions in the context of p,q-calculus.
I. Sial   +5 more
semanticscholar   +1 more source

Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus

open access: yes, 2021
In this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to - symmetric points based on quantum calculus by subordinating with pedal-shaped regions.
K. Karthikeyan   +3 more
semanticscholar   +1 more source

Refinements of Hermite–Hadamard Inequalities for Continuous Convex Functions via (p,q)-Calculus

open access: yesMathematics, 2021
In this paper, we present some new refinements of Hermite–Hadamard inequalities for continuous convex functions by using (p,q)-calculus. Moreover, we study some new (p,q)-Hermite–Hadamard inequalities for multiple integrals.
J. Prabseang   +3 more
semanticscholar   +1 more source

A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or $ q $-) calculus

open access: yesAIMS Mathematics, 2021
In this paper, by using the concept of the basic (or q-) calculus and a generalized conic domain, we define two subclasses of normalized multivalent functions which map the open unit disk: U = {z : z ∈ C and |z| < 1} onto this generalized conic domain ...
H. Srivastava, T. Seoudy, M. Aouf
semanticscholar   +1 more source

On Fejér Type Inequalities via (p,q)-Calculus [PDF]

open access: yesSymmetry, 2021
In this paper, we use (p,q)-integral to establish some Fejér type inequalities. In particular, we generalize and correct existing results of quantum Fejér type inequalities by using new techniques and showing some problematic parts of those results. Most of the inequalities presented in this paper are significant extensions of results which appear in ...
Nuttapong Arunrat   +4 more
openaire   +1 more source

Certain Classes of Analytic Functions Bound with Kober Operators in q -Calculus

open access: yes, 2021
(rough applying the Kober fractional q-calculus apprehension, we preliminary implant and introduce new types of univalent analytical functions with a q-differintegral operator in the open disk U ξ ∈ C:∣ξ|< 1 { }.
S. Purohit   +3 more
semanticscholar   +1 more source

Provably correct Java implementations of Spi Calculus security protocols specifications [PDF]

open access: yes, 2010
Spi Calculus is an untyped high level modeling language for security protocols, used for formal protocols specification and verification. In this paper, a type system for the Spi Calculus and a translation function are formally defined, in order to ...
Pironti, Alfredo, Sisto, Riccardo
core   +1 more source

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