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- Khuram Ali Khan
- ip Pečarić, Popoviciu type inequalities via Green function and generalized Montgomery identity, Mathematical... .com/18-118/Popoviciu-type-inequalities-via-Green-function-and-generalized-Montgomery-identity|Link]]) - L... ip Pečarić, Popoviciu type inequalities via Green function and Taylor polynomial, Turk. J. Math, (2016) 40(2... Integral form of Popoviciu inequality for convex function, Proceedings of the Pakistan Academy of Sciences,
- Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
- & summary ==== * Introduction * Concept of Function * Definition (Function-Domain-Range) * Notation and Values of a Function * Graphs of Algebraic functions * Graph of Fu... Piece-Wise * Types of Functions * Algebraic Function * Trigonometric Functions * Inverse Trigo
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- w q)\wedge (p \vee q)$ is the contingency. * **Function:** Let $A$ and $B$ be two non-empty set sets. If\... $F$ have same 1st elements. Then $F$ is called a function from $A$ to $B$ and is written as $F:A \to B$ denoted by $y=f(x)$. * **Bijective function:** (1-1 and onto) A function f which is both one to one and onto is called bijective function. * **Inje
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
- of \( p \) and \( q \) and false for others. ====Function==== A function is a relation between two non-empty sets \( A \) and \( B \), where each element of set \( A... ( A = \{1, 2, 3\} \) and \( B = \{a, b, c\} \). A function \( f: A \rightarrow B \) could be defined as \( f(1) = a, f(2) = b, f(3) = c \). ====Bijective Function==== A bijective function is a function that is bo
- Special Functions by Dr. Muhey-U-Din @notes
- |853 kB | ====Contents & Summary==== * Gamma Function * Some Properties of Gamma Function * Beta Function * Duplication Formula * Hypergeometric Function * Historical Background of Hypergeometric Function
- MTH322: Real Analysis II (Spring 2023) @atiq
- differentiation, the exponential and logarithmic function, the trigonometric functions. **Series of functi... b]$. If $f_n \to f$ uniformly on $[a,b]$ and each function $f_n$ is continuous on $[a,b]$, then \begin{equat... ll } x\in\mathbb{R}.$$ - Consider a sequence of function $\{E_n(x)\}$ define by $$E_n(x)=1+\frac{x}{1!}+\f... he interval $[-A,A]$, where $A>0$. - Consider a function $E:\mathbb{R} \to \mathbb{R}$ defined by $E'(x)=E
- Atiq ur Rehman, PhD
- ties of Gruss type via generalized Mittag-Leffler function, International Journal of Analysis and Applicatio... Farid, Vishnu Narayan Mishra, Generalized convex function and associated Petrovic’s inequality, Internation... ctions via an extended generalized Mittag-Leffler function, Journal of Mathematical and Computational Scienc... ctions via an extended generalized Mittag-Leffler function, Journal of Inequalities and Applications, 2018 A
- MTH321: Real Analysis I (Spring 2023) @atiq
- s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... e the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the proofs’ development. Define the derivative of a function, prove various theorems about the derivatives of
- Definitions: FSc Part1 KPK @fsc-part1-kpk
- measure of the angle, gives the same value of the function. * **Circular system (Radians):** A radian is ... $16^\circ 13' 9''$ * **Period of Trigonometric Function:** The smallest +ve number which when added to th... ular measurement of the angle gives same value of function is called period. \\ e.g. $sin(\alpha+2\pi)=sin\a... he equation, containing at least one trigonometry function are called Trigonometry equation. \\ e.g. $sin x=
- Definitions: FSc Part1 KPK @math-11-kpk
- measure of the angle, gives the same value of the function. * **Circular system (Radians):** A radian is ... $16^\circ 13' 9''$ * **Period of Trigonometric Function:** The smallest +ve number which when added to th... ular measurement of the angle gives same value of function is called period. \\ e.g. $sin(\alpha+2\pi)=sin\a... he equation, containing at least one trigonometry function are called Trigonometry equation. \\ e.g. $sin x=
- MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
- introduced these means. Stolarsky proved that the function $E(r, s)$ is increasing in both $r$ and $s$ i.e. ... q v$. \footnotetext{Key words and phrases. convex function, log-convex function, Stolarsky means. } \vspace{2mm} We consider the following function $f(x)=p^{2} \varphi_{r}(x)+2 p q \varphi_{t}(x)+
- Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
- ==== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}\cos {{22... === Question 1(ii)===== Write as a trigonometric function of a single angle. $\cos {{83}^{\circ }}\cos {{53... == Question 1(iii)===== Write as a trigonometric function of a single angle. $\cos {{19}^{\circ }}\cos {{5}... === Question 1(iv)===== Write as a trigonometric function of a single angle. $\sin {{40}^{\circ }}\cos {{15
- Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
- ==== Question 1(i) ===== Write as a trigonometric function of a single angle. $\sin {{37}^{\circ }}\cos {{22... === Question 1(ii)===== Write as a trigonometric function of a single angle. $\cos {{83}^{\circ }}\cos {{53... == Question 1(iii)===== Write as a trigonometric function of a single angle. $\cos {{19}^{\circ }}\cos {{5}... === Question 1(iv)===== Write as a trigonometric function of a single angle. $\sin {{40}^{\circ }}\cos {{15
- MTH321: Real Analysis I (Fall 2022) @atiq
- s statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. ... e the proofs’ development. Define continuity of a function and uniform continuity of a function, prove various theorems about continuous functions and emphasize the proofs’ development. Define the derivative of a function, prove various theorems about the derivatives of
- Partial Differential Equations by Muzammil Tanveer @notes
- or Fourier method * Some Eigen values and Eigen function * Solution of Non-Homogeneous Equation * Solu... * Canonical form of Elliptic equation * Gamma Function * Piecewise Continuous function * Laplace Transform * Linearity Property * First Shifting property ... urier Transform * Fourier Transform of Gaussian function * Contour Integration * Attenuation property