Results 61 to 70 of about 7,092,593 (125)

On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral‐type Hölder space Jα,β. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami, Smritijit Sen   +3 more
wiley   +1 more source

A comprehensive study on Ostrowski-type inequalities: multiplicative conformable fractional integrals approach [PDF]

Surveys in Mathematics and its Applications
In this paper, we first recall the concept o f the multiplicative conformable fractional integrals (MCFI) and their several properties. Then, we establish the Ostrowski type inequalities in two distinct senses for multiplicative conformable fractional ...
Büşra Betül Ergün, Hüseyin Budak
doaj  

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +1 more source

On gMT- and gβ-convexity and the Ostrowski type inequalities

Қарағанды университетінің хабаршысы. Математика сериясы
In this study, motivated by recent results on Ostrowski-type inequalities, we introduce a new identity that serves as a basis for establishing fractional Ostrowski inequalities.
F. Lakhal, B. Meftah
doaj   +1 more source

Trapezoid Inequality for Operator‐Valued Functions in Hilbert Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let K;·,· denote a complex Hilbert space, and let LK represent the Banach C∗‐algebra of bounded linear operators acting on K. For any operator A∈LK, the modulus is defined by A:=A∗A12/. The primary contribution of this work is the derivation of the following significant result: Assuming ζ:δ1,δ2⟶C is an integrable function and T:δ1,δ2⟶LK is a strongly ...
Salma Aljawi, Ahad Hamoud Alotaibi, Silvestru Sever Dragomir, Kais Feki, Smritijit Sen   +4 more
wiley   +1 more source

Novel Fractional Simpson–Mercer‐Type Inequalities and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we establish a Mercer‐type identity for the Riemann–Liouville fractional integral. By using this identity, we derive several fractional Simpson–Mercer‐type inequalities for functions whose third derivatives satisfy convexity‐type assumptions in absolute value. Related estimates are also obtained under boundedness and Lipschitz continuity
Arslan Munir, Hüseyin Budak, Artion Kashuri, Mohammed Rabih, Fatih Hezenci, Muhammad Muawwaz, Smritijit Sen   +6 more
wiley   +1 more source

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus. [PDF]

Entropy (Basel), 2021
Kalsoom H, Vivas-Cortez M, Latif MA.
europepmc   +1 more source

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +1 more source

Multicast Traffic Throughput Maximization through Joint Dynamic Modulation and Coding Schemes Assignment, and Transmission Power Control in Wireless Sensor Networks. [PDF]

Sensors (Basel), 2021
Ostrowski B, Pióro M, Tomaszewski A.
europepmc   +1 more source